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6888190464 = 29322695557
BaseRepresentation
bin1100110101001000…
…10111001000000000
3122210001100022221100
412122210113020000
5103101334043324
63055301454400
7332460436641
oct63244271000
918701308840
106888190464
112a152274a1
121402a11400
1385a0b905c
14494b736c8
152a4ad04c9
hex19a917200

6888190464 has 120 divisors (see below), whose sum is σ = 19957277340. Its totient is φ = 2287116288.

The previous prime is 6888190369. The next prime is 6888190513. The reversal of 6888190464 is 4640918886.

It can be written as a sum of positive squares in 2 ways, for example, as 6887672064 + 518400 = 82992^2 + 720^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6888190464.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1236774 + ... + 1242330.

Almost surely, 26888190464 is an apocalyptic number.

6888190464 is a gapful number since it is divisible by the number (64) 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 6888190464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9978638670).

6888190464 is an abundant number, since it is smaller than the sum of its proper divisors (13069086876).

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

6888190464 is a wasteful number, since it uses less digits than its factorization.

6888190464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5850 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 6888190464 is about 82995.1231338324. The cubic root of 6888190464 is about 1902.6915191259.

The spelling of 6888190464 in words is "six billion, eight hundred eighty-eight million, one hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 269 288 384 512 538 576 768 807 1076 1152 1536 1614 2152 2304 2421 3228 4304 4608 4842 5557 6456 8608 9684 11114 12912 16671 17216 19368 22228 25824 33342 34432 38736 44456 50013 51648 66684 68864 77472 88912 100026 103296 133368 137728 154944 177824 200052 206592 266736 309888 355648 400104 413184 533472 619776 711296 800208 1066944 1239552 1422592 1494833 1600416 2133888 2845184 2989666 3200832 4267776 4484499 5979332 6401664 8535552 8968998 11958664 12803328 13453497 17937996 23917328 25606656 26906994 35875992 47834656 53813988 71751984 95669312 107627976 143503968 191338624 215255952 287007936 382677248 430511904 574015872 765354496 861023808 1148031744 1722047616 2296063488 3444095232 6888190464