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31476150072 = 23332353173691
BaseRepresentation
bin11101010100000111…
…111110111100111000
310000020121221002121000
4131110013332330320
51003430343300242
622243203045000
72163002601243
oct352407767470
9100217832530
1031476150072
1112392514474
126125370760
132c78156793
14174850025a
15c43511a4c
hex7541fef38

31476150072 has 256 divisors, whose sum is σ = 93629260800. Its totient is φ = 9775434240.

The previous prime is 31476150061. The next prime is 31476150119. The reversal of 31476150072 is 27005167413.

It is a happy number.

31476150072 is a `hidden beast` number, since 3 + 14 + 76 + 1 + 500 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45551247 + ... + 45551937.

It is an arithmetic number, because the mean of its divisors is an integer number (365739300).

Almost surely, 231476150072 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 31476150072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46814630400).

31476150072 is an abundant number, since it is smaller than the sum of its proper divisors (62153110728).

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

31476150072 is a wasteful number, since it uses less digits than its factorization.

31476150072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 31476150072 in words is "thirty-one billion, four hundred seventy-six million, one hundred fifty thousand, seventy-two".