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475830938024 = 231343331521617
BaseRepresentation
bin1101110110010011011…
…10111110100110101000
31200111012110212011002222
412323021232332212220
530244000210004044
61002332124213212
746243351144661
oct6731156764650
91614173764088
10475830938024
11173887183512
127827699a208
1335b41b0a380
141905d37a368
15c59dd998ee
hex6ec9bbe9a8

475830938024 has 128 divisors (see below), whose sum is σ = 989621297280. Its totient is φ = 213102489600.

The previous prime is 475830937943. The next prime is 475830938029. The reversal of 475830938024 is 420839038574.

It is a Cunningham number, because it is equal to 6898052-1.

It is not an unprimeable number, because it can be changed into a prime (475830938029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 771200564 + ... + 771201180.

It is an arithmetic number, because the mean of its divisors is an integer number (7731416385).

Almost surely, 2475830938024 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 475830938024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494810648640).

475830938024 is an abundant number, since it is smaller than the sum of its proper divisors (513790359256).

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

475830938024 is a wasteful number, since it uses less digits than its factorization.

475830938024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 53.

The spelling of 475830938024 in words is "four hundred seventy-five billion, eight hundred thirty million, nine hundred thirty-eight thousand, twenty-four".

Divisors: 1 2 4 8 13 26 43 52 86 104 172 331 344 521 559 617 662 1042 1118 1234 1324 2084 2236 2468 2648 4168 4303 4472 4936 6773 8021 8606 13546 14233 16042 17212 22403 26531 27092 28466 32084 34424 44806 53062 54184 56932 64168 89612 106124 113864 172451 179224 185029 204227 212248 291239 321457 344902 344903 370058 408454 582478 642914 689804 689806 740116 816908 1164956 1285828 1379608 1379612 1480232 1633816 2241863 2329912 2571656 2654951 2759224 4178941 4483726 5309902 7415393 8357882 8781761 8967452 10619804 13822651 14830786 16715764 17563522 17934904 21239608 27645302 29661572 33431528 35127044 55290604 59323144 70254088 96400109 106402267 110581208 114162893 179694463 192800218 212804534 228325786 359388926 385600436 425609068 456651572 718777852 771200872 851218136 913303144 1383229471 1437555704 2766458942 4575297481 5532917884 9150594962 11065835768 18301189924 36602379848 59478867253 118957734506 237915469012 475830938024