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31415451648 = 214371741131
BaseRepresentation
bin11101010000100000…
…011100000000000000
310000002101201022000020
4131100200130000000
51003314323423043
622233154053440
72161334635020
oct352040340000
9100071638006
1031415451648
1112361226889
126108b7a280
132c686c3959
14174041da80
15c3d021e83
hex75081c000

31415451648 has 480 divisors, whose sum is σ = 104636302848. Its totient is φ = 8178892800.

The previous prime is 31415451643. The next prime is 31415451671. The reversal of 31415451648 is 84615451413.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31415451643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239812543 + ... + 239812673.

Almost surely, 231415451648 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 31415451648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52318151424).

31415451648 is an abundant number, since it is smaller than the sum of its proper divisors (73220851200).

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

31415451648 is a wasteful number, since it uses less digits than its factorization.

31415451648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 201 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The spelling of 31415451648 in words is "thirty-one billion, four hundred fifteen million, four hundred fifty-one thousand, six hundred forty-eight".