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148139993664 = 26331371293317
BaseRepresentation
bin1000100111110111010…
…1001110101001000000
3112011101010112101212000
42021331311032221000
54411342314244124
6152015442104000
713463022112155
oct2117565165100
9464333471760
10148139993664
115790a189933
122486394b000
1310c7b10c5b0
14725473822c
153cc06716c9
hex227dd4ea40

148139993664 has 448 divisors, whose sum is σ = 478738874880. Its totient is φ = 44644884480.

The previous prime is 148139993629. The next prime is 148139993717. The reversal of 148139993664 is 466399931841.

148139993664 is a `hidden beast` number, since 1 + 481 + 3 + 9 + 9 + 93 + 6 + 64 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 467318434 + ... + 467318750.

It is an arithmetic number, because the mean of its divisors is an integer number (1068613560).

Almost surely, 2148139993664 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 148139993664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239369437440).

148139993664 is an abundant number, since it is smaller than the sum of its proper divisors (330598881216).

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

148139993664 is a wasteful number, since it uses less digits than its factorization.

148139993664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 699 counting only the distinct ones).

The product of its digits is 30233088, while the sum is 63.

The spelling of 148139993664 in words is "one hundred forty-eight billion, one hundred thirty-nine million, nine hundred ninety-three thousand, six hundred sixty-four".