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561024855008 = 253110740912923
BaseRepresentation
bin10000010100111111010…
…11111110101111100000
31222122002210020112202122
420022133223332233200
533142434330330013
61105421541403412
755350501404462
oct10123753765740
91878083215678
10561024855008
111a6a249a5272
1290892109568
1340b9b008337
141d221c54132
15e8d8326a08
hex829fafebe0

561024855008 has 96 divisors (see below), whose sum is σ = 1153705835520. Its totient is φ = 268248314880.

The previous prime is 561024854983. The next prime is 561024855067. The reversal of 561024855008 is 800558420165.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 561024855008.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 43406435 + ... + 43419357.

It is an arithmetic number, because the mean of its divisors is an integer number (12017769120).

Almost surely, 2561024855008 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 561024855008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576852917760).

561024855008 is an abundant number, since it is smaller than the sum of its proper divisors (592680980512).

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

561024855008 is a wasteful number, since it uses less digits than its factorization.

561024855008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13480 (or 13472 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 44.

The spelling of 561024855008 in words is "five hundred sixty-one billion, twenty-four million, eight hundred fifty-five thousand, eight".

Divisors: 1 2 4 8 16 31 32 62 107 124 214 248 409 428 496 818 856 992 1636 1712 3272 3317 3424 6544 6634 12679 12923 13088 13268 25358 25846 26536 43763 50716 51692 53072 87526 101432 103384 106144 175052 202864 206768 350104 400613 405728 413536 700208 801226 1356653 1382761 1400416 1602452 2713306 2765522 3204904 5285507 5426612 5531044 6409808 10571014 10853224 11062088 12819616 21142028 21706448 22124176 42284056 42865591 43412896 44248352 84568112 85731182 163850717 169136224 171462364 327701434 342924728 565549249 655402868 685849456 1131098498 1310805736 1371698912 2262196996 2621611472 4524393992 5243222944 9048787984 17532026719 18097575968 35064053438 70128106876 140256213752 280512427504 561024855008