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7071956096 = 27233177489
BaseRepresentation
bin1101001011000010…
…10111110010000000
3200020212010120222212
412211201113302000
5103440410043341
63125424321252
7340151430542
oct64541276200
920225116885
107071956096
112aa9a31317
121454473228
138891aac0a
144b132b692
152b5cce5eb
hex1a5857c80

7071956096 has 64 divisors (see below), whose sum is σ = 15175641600. Its totient is φ = 3273093120.

The previous prime is 7071956093. The next prime is 7071956131. The reversal of 7071956096 is 6906591707.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×70719560962 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7071956093) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52520 + ... + 130008.

It is an arithmetic number, because the mean of its divisors is an integer number (237119400).

Almost surely, 27071956096 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 7071956096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7587820800).

7071956096 is an abundant number, since it is smaller than the sum of its proper divisors (8103685504).

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

7071956096 is a wasteful number, since it uses less digits than its factorization.

7071956096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77557 (or 77545 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 50.

The square root of 7071956096 is about 84094.9231285694. The cubic root of 7071956096 is about 1919.4634727713.

The spelling of 7071956096 in words is "seven billion, seventy-one million, nine hundred fifty-six thousand, ninety-six".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 92 124 128 184 248 368 496 713 736 992 1426 1472 1984 2852 2944 3968 5704 11408 22816 45632 77489 91264 154978 309956 619912 1239824 1782247 2402159 2479648 3564494 4804318 4959296 7128988 9608636 9918592 14257976 19217272 28515952 38434544 55249657 57031904 76869088 110499314 114063808 153738176 220998628 228127616 307476352 441997256 883994512 1767989024 3535978048 7071956096