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12909367440 = 2433524124799
BaseRepresentation
bin11000000010111010…
…10101000010010000
31020022200020210222000
430001131111002100
5202414244224230
65532552314000
7634622545524
oct140135250220
936280223860
1012909367440
115525001912
1226033a2900
1312a968ab78
148a66d5d84
155084ecb60
hex301755090

12909367440 has 160 divisors (see below), whose sum is σ = 44651904000. Its totient is φ = 3428075520.

The previous prime is 12909367423. The next prime is 12909367453. The reversal of 12909367440 is 4476390921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508161 + ... + 532959.

It is an arithmetic number, because the mean of its divisors is an integer number (279074400).

Almost surely, 212909367440 is an apocalyptic number.

12909367440 is a gapful number since it is divisible by the number (10) 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 12909367440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22325952000).

12909367440 is an abundant number, since it is smaller than the sum of its proper divisors (31742536560).

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

12909367440 is a wasteful number, since it uses less digits than its factorization.

12909367440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25062 (or 25050 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 12909367440 in words is "twelve billion, nine hundred nine million, three hundred sixty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 241 270 360 432 482 540 720 723 964 1080 1205 1446 1928 2160 2169 2410 2892 3615 3856 4338 4820 5784 6507 7230 8676 9640 10845 11568 13014 14460 17352 19280 21690 24799 26028 28920 32535 34704 43380 49598 52056 57840 65070 74397 86760 99196 104112 123995 130140 148794 173520 198392 223191 247990 260280 297588 371985 396784 446382 495980 520560 595176 669573 743970 892764 991960 1115955 1190352 1339146 1487940 1785528 1983920 2231910 2678292 2975880 3347865 3571056 4463820 5356584 5951760 5976559 6695730 8927640 10713168 11953118 13391460 17855280 17929677 23906236 26782920 29882795 35859354 47812472 53565840 53789031 59765590 71718708 89648385 95624944 107578062 119531180 143437416 161367093 179296770 215156124 239062360 268945155 286874832 322734186 358593540 430312248 478124720 537890310 645468372 717187080 806835465 860624496 1075780620 1290936744 1434374160 1613670930 2151561240 2581873488 3227341860 4303122480 6454683720 12909367440