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149083926720 = 2635208774411
BaseRepresentation
bin1000101011011000011…
…0000011000011000000
3112020210220201011120120
42022312012003003000
54420310441123340
6152253241540240
713525303316451
oct2126606030300
9466726634516
10149083926720
1158253a987a3
1224a87aa4680
131109b848a71
147303c4d128
153d2847a4d0
hex22b61830c0

149083926720 has 112 divisors (see below), whose sum is σ = 473574636288. Its totient is φ = 39736130560.

The previous prime is 149083926713. The next prime is 149083926751. The reversal of 149083926720 is 27629380941.

149083926720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1966315 + ... + 2040725.

Almost surely, 2149083926720 is an apocalyptic number.

149083926720 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 149083926720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236787318144).

149083926720 is an abundant number, since it is smaller than the sum of its proper divisors (324490709568).

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

149083926720 is a wasteful number, since it uses less digits than its factorization.

149083926720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76518 (or 76508 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 149083926720 in words is "one hundred forty-nine billion, eighty-three million, nine hundred twenty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2087 4174 6261 8348 10435 12522 16696 20870 25044 31305 33392 41740 50088 62610 66784 74411 83480 100176 125220 133568 148822 166960 200352 223233 250440 297644 333920 372055 400704 446466 500880 595288 667840 744110 892932 1001760 1116165 1190576 1488220 1785864 2003520 2232330 2381152 2976440 3571728 4464660 4762304 5952880 7143456 8929320 11905760 14286912 17858640 23811520 35717280 71434560 155295757 310591514 465887271 621183028 776478785 931774542 1242366056 1552957570 1863549084 2329436355 2484732112 3105915140 3727098168 4658872710 4969464224 6211830280 7454196336 9317745420 9938928448 12423660560 14908392672 18635490840 24847321120 29816785344 37270981680 49694642240 74541963360 149083926720