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71142694623 = 3272111331151241
BaseRepresentation
bin100001001000001101…
…1110101111011011111
320210122001112100012200
41002100123311323133
52131200012211443
652403230502543
75065660632600
oct1022033657337
9223561470180
1071142694623
11281982184a0
1211955664a53
13692a0c6510
14362c6a9da7
151cb5acbdd3
hex10906f5edf

71142694623 has 288 divisors, whose sum is σ = 146533330944. Its totient is φ = 32659200000.

The previous prime is 71142694603. The next prime is 71142694639. The reversal of 71142694623 is 32649624117.

71142694623 is a `hidden beast` number, since 7 + 1 + 14 + 2 + 6 + 9 + 4 + 623 = 666.

It is not a de Polignac number, because 71142694623 - 224 = 71125917407 is a prime.

It is a super-2 number, since 2×711426946232 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71142694603) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 295197783 + ... + 295198023.

It is an arithmetic number, because the mean of its divisors is an integer number (508796288).

Almost surely, 271142694623 is an apocalyptic number.

71142694623 is an abundant number, since it is smaller than the sum of its proper divisors (75390636321).

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

71142694623 is a wasteful number, since it uses less digits than its factorization.

71142694623 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 457 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 71142694623 in words is "seventy-one billion, one hundred forty-two million, six hundred ninety-four thousand, six hundred twenty-three".