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10204264601504 = 2517531732045789
BaseRepresentation
bin1001010001111101110110…
…0100010001011110100000
31100010111222202010010210122
42110133131210101132200
52314141313214222004
633411435140215412
72102143121662661
oct224373544213640
940114882103718
1010204264601504
113284671385476
1211897a369a568
13590347b5192c
14273c63761368
1512a6829a7cbe
hex947dd9117a0

10204264601504 has 96 divisors (see below), whose sum is σ = 21798023380560. Its totient is φ = 4684167135232.

The previous prime is 10204264601473. The next prime is 10204264601579. The reversal of 10204264601504 is 40510646240201.

It can be written as a sum of positive squares in 8 ways, for example, as 9733476501904 + 470788099600 = 3119852^2 + 686140^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3965042 + ... + 6010830.

Almost surely, 210204264601504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10204264601504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10899011690280).

10204264601504 is an abundant number, since it is smaller than the sum of its proper divisors (11593758779056).

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

10204264601504 is a wasteful number, since it uses less digits than its factorization.

10204264601504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046042 (or 2046034 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 10204264601504 in words is "ten trillion, two hundred four billion, two hundred sixty-four million, six hundred one thousand, five hundred four".

Divisors: 1 2 4 8 16 17 32 34 53 68 106 136 173 212 272 346 424 544 692 848 901 1384 1696 1802 2768 2941 3604 5536 5882 7208 9169 11764 14416 18338 23528 28832 36676 47056 73352 94112 146704 155873 293408 311746 623492 1246984 2045789 2493968 4091578 4987936 8183156 16366312 32732624 34778413 65465248 69556826 108426817 139113652 216853634 278227304 353921497 433707268 556454608 707842994 867414536 1112909216 1415685988 1734829072 1843255889 2831371976 3469658144 3686511778 5662743952 6016665449 7373023556 11325487904 12033330898 14746047112 18757839341 24066661796 29492094224 37515678682 48133323592 58984188448 75031357364 96266647184 150062714728 192533294368 300125429456 318883268797 600250858912 637766537594 1275533075188 2551066150376 5102132300752 10204264601504