Search a number
-
+
398575850938092 = 22321731263432718461
BaseRepresentation
bin101101010100000001010110…
…0000000101101111011101100
31221021020110221100112212110200
41122220002230000231323230
5404220231320320004332
63531411115042033500
7146645104101430062
oct13250025400557354
91837213840485420
10398575850938092
11105aa9084004803
1238852806048890
13141527067b6949
14705d261ac0032
153112d14d8617c
hex16a80ac02deec

398575850938092 has 288 divisors, whose sum is σ = 1105691068145664. Its totient is φ = 120515244595200.

The previous prime is 398575850938087. The next prime is 398575850938193. The reversal of 398575850938092 is 290839058575893.

398575850938092 is a `hidden beast` number, since 3 + 9 + 8 + 5 + 75 + 8 + 509 + 38 + 0 + 9 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21590145742 + ... + 21590164202.

It is an arithmetic number, because the mean of its divisors is an integer number (3839205097728).

Almost surely, 2398575850938092 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 398575850938092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552845534072832).

398575850938092 is an abundant number, since it is smaller than the sum of its proper divisors (707115217207572).

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

398575850938092 is a wasteful number, since it uses less digits than its factorization.

398575850938092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23109 (or 23104 counting only the distinct ones).

The product of its (nonzero) digits is 5878656000, while the sum is 81.

The spelling of 398575850938092 in words is "three hundred ninety-eight trillion, five hundred seventy-five billion, eight hundred fifty million, nine hundred thirty-eight thousand, ninety-two".