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11452405400 = 2352471378893
BaseRepresentation
bin10101010101001110…
…11101011010011000
31002120010201110202222
422222213131122120
5141423303433100
65132224443212
7553541561012
oct125247353230
932503643688
1011452405400
114947647757
122277479508
131106887157
147a8dd71b2
15470655485
hex2aa9dd698

11452405400 has 96 divisors (see below), whose sum is σ = 27394943040. Its totient is φ = 4450268160.

The previous prime is 11452405381. The next prime is 11452405421. The reversal of 11452405400 is 450425411.

It is a self number, because there is not a number n which added to its sum of digits gives 11452405400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1283354 + ... + 1292246.

It is an arithmetic number, because the mean of its divisors is an integer number (285363990).

Almost surely, 211452405400 is an apocalyptic number.

11452405400 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 11452405400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13697471520).

11452405400 is an abundant number, since it is smaller than the sum of its proper divisors (15942537640).

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

11452405400 is a wasteful number, since it uses less digits than its factorization.

11452405400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9093 (or 9084 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The spelling of 11452405400 in words is "eleven billion, four hundred fifty-two million, four hundred five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 137 188 200 235 274 376 470 548 685 940 1096 1175 1370 1880 2350 2740 3425 4700 5480 6439 6850 8893 9400 12878 13700 17786 25756 27400 32195 35572 44465 51512 64390 71144 88930 128780 160975 177860 222325 257560 321950 355720 417971 444650 643900 835942 889300 1218341 1287800 1671884 1778600 2089855 2436682 3343768 4179710 4873364 6091705 8359420 9746728 10449275 12183410 16718840 20898550 24366820 30458525 41797100 48733640 57262027 60917050 83594200 114524054 121834100 229048108 243668200 286310135 458096216 572620270 1145240540 1431550675 2290481080 2863101350 5726202700 11452405400