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149165273088 = 2123313223347
BaseRepresentation
bin1000101011101011110…
…0010111000000000000
3112021000120202222211000
42022322330113000000
54420442302214323
6152305305252000
713530311621046
oct2127274270000
9467016688730
10149165273088
11582959a94a7
1224aab194000
13110b265ac00
147310986396
153d30697e43
hex22baf17000

149165273088 has 624 divisors, whose sum is σ = 500770218240. Its totient is φ = 43774967808.

The previous prime is 149165273087. The next prime is 149165273119. The reversal of 149165273088 is 880372561941.

149165273088 is a `hidden beast` number, since 1 + 4 + 9 + 1 + 6 + 527 + 30 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149165273083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 429870931 + ... + 429871277.

It is a 2-persistent number, because it is pandigital, and so is 2⋅149165273088 = 298330546176, but 3⋅149165273088 = 447495819264 is not.

Almost surely, 2149165273088 is an apocalyptic number.

149165273088 is a gapful number since it is divisible by the number (18) 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 149165273088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250385109120).

149165273088 is an abundant number, since it is smaller than the sum of its proper divisors (351604945152).

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

149165273088 is a wasteful number, since it uses less digits than its factorization.

149165273088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 149165273088 in words is "one hundred forty-nine billion, one hundred sixty-five million, two hundred seventy-three thousand, eighty-eight".