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31146861460 = 2251113471391667
BaseRepresentation
bin11101000000011111…
…110110001110010100
32222101200022111112111
4131000133312032110
51002242044031320
622150401200404
72151563645161
oct350037661624
988350274474
1031146861460
1112233656020
126053030104
132c24b72750
1417168a5068
15c24669a5a
hex7407f6394

31146861460 has 192 divisors, whose sum is σ = 79090421760. Its totient is φ = 10152737280.

The previous prime is 31146861409. The next prime is 31146861463. The reversal of 31146861460 is 6416864113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31146861463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18683547 + ... + 18685213.

It is an arithmetic number, because the mean of its divisors is an integer number (411929280).

Almost surely, 231146861460 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 31146861460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39545210880).

31146861460 is an abundant number, since it is smaller than the sum of its proper divisors (47943560300).

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

31146861460 is a wasteful number, since it uses less digits than its factorization.

31146861460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 31146861460 in words is "thirty-one billion, one hundred forty-six million, eight hundred sixty-one thousand, four hundred sixty".