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71959690912 = 25314311314929
BaseRepresentation
bin100001100000100100…
…0011011111010100000
320212201222212001102111
41003001020123322200
52134333140102122
653020253525104
75125141165144
oct1030110337240
9225658761374
1071959690912
112857740793a
1211b431a3794
136a2a44a585
1436a8dbb224
151d126aed77
hex10c121bea0

71959690912 has 96 divisors (see below), whose sum is σ = 150975982080. Its totient is φ = 33706229760.

The previous prime is 71959690909. The next prime is 71959690919. The reversal of 71959690912 is 21909695917.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (71959690919) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4812664 + ... + 4827592.

It is an arithmetic number, because the mean of its divisors is an integer number (1572666480).

Almost surely, 271959690912 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 71959690912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75487991040).

71959690912 is an abundant number, since it is smaller than the sum of its proper divisors (79016291168).

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

71959690912 is a wasteful number, since it uses less digits than its factorization.

71959690912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15126 (or 15118 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 58.

The spelling of 71959690912 in words is "seventy-one billion, nine hundred fifty-nine million, six hundred ninety thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 31 32 43 62 86 113 124 172 226 248 344 452 496 688 904 992 1333 1376 1808 2666 3503 3616 4859 5332 7006 9718 10664 14012 14929 19436 21328 28024 29858 38872 42656 56048 59716 77744 112096 119432 150629 155488 238864 301258 462799 477728 602516 641947 925598 1205032 1283894 1686977 1851196 2410064 2567788 3373954 3702392 4820128 5135576 6747908 7404784 10271152 13495816 14809568 19900357 20542304 26991632 39800714 52296287 53983264 72540011 79601428 104592574 145080022 159202856 209185148 290160044 318405712 418370296 580320088 636811424 836740592 1160640176 1673481184 2248740341 2321280352 4497480682 8994961364 17989922728 35979845456 71959690912