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13204534040352 = 2532193929614179
BaseRepresentation
bin1100000000100110101110…
…0011111001011100100000
31201202100012200101022212100
43000021223203321130200
53212320341203242402
644030025034530400
72531665443303054
oct300115343713440
951670180338770
1013204534040352
114231014251586
121593163896a00
1374a24a43c0b5
14339162353c64
1517d730bc071c
hexc026b8f9720

13204534040352 has 144 divisors (see below), whose sum is σ = 39536854812000. Its totient is φ = 4168784765952.

The previous prime is 13204534040311. The next prime is 13204534040389. The reversal of 13204534040352 is 25304043540231.

13204534040352 is a `hidden beast` number, since 1 + 3 + 204 + 5 + 3 + 40 + 403 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21192399 + ... + 21806577.

It is an arithmetic number, because the mean of its divisors is an integer number (274561491750).

Almost surely, 213204534040352 is an apocalyptic number.

13204534040352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13204534040352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19768427406000).

13204534040352 is an abundant number, since it is smaller than the sum of its proper divisors (26332320771648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13204534040352 is a wasteful number, since it uses less digits than its factorization.

13204534040352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618143 (or 618132 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 13204534040352 its reverse (25304043540231), we get a palindrome (38508577580583).

The spelling of 13204534040352 in words is "thirteen trillion, two hundred four billion, five hundred thirty-four million, forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 3929 5472 7858 11787 15716 23574 31432 35361 47148 62864 70722 74651 94296 125728 141444 149302 188592 223953 282888 298604 377184 447906 565776 597208 614179 671859 895812 1131552 1194416 1228358 1343718 1791624 1842537 2388832 2456716 2687436 3583248 3685074 4913432 5374872 5527611 7166496 7370148 9826864 10749744 11055222 11669401 14740296 19653728 21499488 22110444 23338802 29480592 35008203 44220888 46677604 58961184 70016406 88441776 93355208 105024609 140032812 176883552 186710416 210049218 280065624 373420832 420098436 560131248 840196872 1120262496 1680393744 2413109291 3360787488 4826218582 7239327873 9652437164 14478655746 19304874328 21717983619 28957311492 38609748656 43435967238 45849076529 57914622984 77219497312 86871934476 91698153058 115829245968 137547229587 173743868952 183396306116 231658491936 275094459174 347487737904 366792612232 412641688761 550188918348 694975475808 733585224464 825283377522 1100377836696 1467170448928 1650566755044 2200755673392 3301133510088 4401511346784 6602267020176 13204534040352