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149987212704 = 253673129629
BaseRepresentation
bin1000101110101111101…
…1110011110110100000
3112100010212101212000000
42023223323303312200
54424133211301304
6152523030300000
713556552162340
oct2135373636640
9470125355000
10149987212704
115867796493a
122509a4b7600
13111b3a23004
14738bbc2d20
153d7c905939
hex22ebef3da0

149987212704 has 336 divisors, whose sum is σ = 522314795520. Its totient is φ = 41469719040.

The previous prime is 149987212699. The next prime is 149987212721. The reversal of 149987212704 is 407212789941.

149987212704 is a `hidden beast` number, since 1 + 499 + 8 + 72 + 12 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 55 ways as a sum of consecutive naturals, for example, 5047362 + ... + 5076990.

It is an arithmetic number, because the mean of its divisors is an integer number (1554508320).

Almost surely, 2149987212704 is an apocalyptic number.

149987212704 is a gapful number since it is divisible by the number (14) 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 149987212704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261157397760).

149987212704 is an abundant number, since it is smaller than the sum of its proper divisors (372327582816).

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

149987212704 is an equidigital number, since it uses as much as digits as its factorization.

149987212704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29695 (or 29672 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 149987212704 in words is "one hundred forty-nine billion, nine hundred eighty-seven million, two hundred twelve thousand, seven hundred four".