Search a number
-
+
31914958608 = 243313232111171
BaseRepresentation
bin11101101110010001…
…111001111100010000
310001101012121212202000
4131232101321330100
51010330212133413
622354520154000
72206611446361
oct355621717420
9101335555660
1031914958608
1112598186855
126228308900
1330180354c0
14178a8c7b68
15c6bcde073
hex76e479f10

31914958608 has 320 divisors, whose sum is σ = 103520040960. Its totient is φ = 9340531200.

The previous prime is 31914958591. The next prime is 31914958637. The reversal of 31914958608 is 80685941913.

31914958608 is a `hidden beast` number, since 3 + 1 + 91 + 495 + 8 + 60 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27253863 + ... + 27255033.

It is an arithmetic number, because the mean of its divisors is an integer number (323500128).

Almost surely, 231914958608 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 31914958608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51760020480).

31914958608 is an abundant number, since it is smaller than the sum of its proper divisors (71605082352).

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

31914958608 is a wasteful number, since it uses less digits than its factorization.

31914958608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 31914958608 in words is "thirty-one billion, nine hundred fourteen million, nine hundred fifty-eight thousand, six hundred eight".