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148957099200 = 26335272135413
BaseRepresentation
bin1000101010111010001…
…0001111010011000000
3112020111002001122221000
42022232202033103000
54420031004133300
6152232511332000
713522203311100
oct2125642172300
9466432048830
10148957099200
1158199443368
1224a51521000
131107b4a12b0
1472d1077200
153d1c276c00
hex22ae88f4c0

148957099200 has 1008 divisors, whose sum is σ = 680372182560. Its totient is φ = 31422504960.

The previous prime is 148957099177. The next prime is 148957099231. The reversal of 148957099200 is 2990759841.

148957099200 is a `hidden beast` number, since 1 + 48 + 9 + 570 + 9 + 9 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27515694 + ... + 27521106.

Almost surely, 2148957099200 is an apocalyptic number.

148957099200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148957099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340186091280).

148957099200 is an abundant number, since it is smaller than the sum of its proper divisors (531415083360).

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

148957099200 is a wasteful number, since it uses less digits than its factorization.

148957099200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5471 (or 5443 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 148957099200 in words is "one hundred forty-eight billion, nine hundred fifty-seven million, ninety-nine thousand, two hundred".