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3925168704 = 263213994871
BaseRepresentation
bin1110100111110101…
…0101001001000000
3101010112220020012200
43221331111021000
531014320344304
61445253553200
7166161245352
oct35175251100
911115806180
103925168704
111734723386
12916645800
134a7280b42
142934350d2
1517e8e2e39
hexe9f55240

3925168704 has 84 divisors (see below), whose sum is σ = 11261140800. Its totient is φ = 1307185920.

The previous prime is 3925168693. The next prime is 3925168721. The reversal of 3925168704 is 4078615293.

3925168704 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×39251687042 = 30813898709722079232, which contains 22 as substring.

3925168704 is strictly pandigital in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 3925168704.

It is a congruent number.

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, 803389 + ... + 808259.

It is an arithmetic number, because the mean of its divisors is an integer number (134061200).

It is a 1-persistent number, because it is pandigital, but 2⋅3925168704 = 7850337408 is not.

Almost surely, 23925168704 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 3925168704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5630570400).

3925168704 is an abundant number, since it is smaller than the sum of its proper divisors (7335972096).

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

3925168704 is a wasteful number, since it uses less digits than its factorization.

3925168704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6288 (or 6275 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3925168704 is about 62651.1668207385. The cubic root of 3925168704 is about 1577.4397332485.

The spelling of 3925168704 in words is "three billion, nine hundred twenty-five million, one hundred sixty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1399 2798 4197 4871 5596 8394 9742 11192 12591 14613 16788 19484 22384 25182 29226 33576 38968 43839 44768 50364 58452 67152 77936 87678 89536 100728 116904 134304 155872 175356 201456 233808 268608 311744 350712 402912 467616 701424 805824 935232 1402848 2805696 6814529 13629058 20443587 27258116 40887174 54516232 61330761 81774348 109032464 122661522 163548696 218064928 245323044 327097392 436129856 490646088 654194784 981292176 1308389568 1962584352 3925168704