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3115671696 = 2433109127521
BaseRepresentation
bin1011100110110101…
…0110000010010000
322001010200112002000
42321231112002100
522340102443241
61233055354000
7140131525644
oct27155260220
98033615060
103115671696
111359796295
1272b522900
133a8654327
14217b16c24
151337e1eb6
hexb9b56090

3115671696 has 160 divisors (see below), whose sum is σ = 9113702400. Its totient is φ = 1018967040.

The previous prime is 3115671659. The next prime is 3115671733. The reversal of 3115671696 is 6961765113.

It is an interprime number because it is at equal distance from previous prime (3115671659) and next prime (3115671733).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5979916 + ... + 5980436.

It is an arithmetic number, because the mean of its divisors is an integer number (56960640).

Almost surely, 23115671696 is an apocalyptic number.

3115671696 is a gapful number since it is divisible by the number (36) 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 3115671696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4556851200).

3115671696 is an abundant number, since it is smaller than the sum of its proper divisors (5998030704).

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

3115671696 is a wasteful number, since it uses less digits than its factorization.

3115671696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 762 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 3115671696 is about 55818.2021924748. The cubic root of 3115671696 is about 1460.5526924809.

The spelling of 3115671696 in words is "three billion, one hundred fifteen million, six hundred seventy-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 109 127 144 216 218 254 327 381 432 436 508 521 654 762 872 981 1016 1042 1143 1308 1524 1563 1744 1962 2032 2084 2286 2616 2943 3048 3126 3429 3924 4168 4572 4689 5232 5886 6096 6252 6858 7848 8336 9144 9378 11772 12504 13716 13843 14067 15696 18288 18756 23544 25008 27432 27686 28134 37512 41529 47088 54864 55372 56268 56789 66167 75024 83058 110744 112536 113578 124587 132334 166116 170367 198501 221488 225072 227156 249174 264668 332232 340734 373761 397002 454312 498348 511101 529336 595503 664464 681468 747522 794004 908624 996696 1022202 1058672 1191006 1362936 1495044 1533303 1588008 1786509 1993392 2044404 2382012 2725872 2990088 3066606 3176016 3573018 4088808 4764024 5980176 6133212 7146036 7212203 8177616 9528048 12266424 14292072 14424406 21636609 24532848 28584144 28848812 43273218 57697624 64909827 86546436 115395248 129819654 173092872 194729481 259639308 346185744 389458962 519278616 778917924 1038557232 1557835848 3115671696