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150053482368 = 273471920129
BaseRepresentation
bin1000101110111111100…
…0100110111110000000
3112100022111002200220000
42023233320212332000
54424302142413433
6152533354520000
713561315361346
oct2135770467600
9470274080800
10150053482368
1158701308259
12250b8736000
13111c468692a
147396913996
153d83646113
hex22efe26f80

150053482368 has 160 divisors (see below), whose sum is σ = 447200028000. Its totient is φ = 49945780224.

The previous prime is 150053482339. The next prime is 150053482387. The reversal of 150053482368 is 863284350051.

150053482368 is a `hidden beast` number, since 1 + 5 + 0 + 0 + 534 + 82 + 36 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7444528 + ... + 7464656.

It is an arithmetic number, because the mean of its divisors is an integer number (2795000175).

Almost surely, 2150053482368 is an apocalyptic number.

150053482368 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 150053482368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223600014000).

150053482368 is an abundant number, since it is smaller than the sum of its proper divisors (297146545632).

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

150053482368 is an equidigital number, since it uses as much as digits as its factorization.

150053482368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20874 (or 20853 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 150053482368 in words is "one hundred fifty billion, fifty-three million, four hundred eighty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 719 864 1152 1296 1438 1728 2157 2592 2876 3456 4314 5184 5752 6471 8628 10368 11504 12942 17256 19413 20129 23008 25884 34512 38826 40258 46016 51768 58239 60387 69024 77652 80516 92032 103536 116478 120774 138048 155304 161032 181161 207072 232956 241548 276096 310608 322064 362322 414144 465912 483096 543483 621216 644128 724644 828288 931824 966192 1086966 1242432 1288256 1449288 1630449 1863648 1932384 2173932 2484864 2576512 2898576 3260898 3727296 3864768 4347864 5797152 6521796 7454592 7729536 8695728 11594304 13043592 14472751 17391456 23188608 26087184 28945502 34782912 43418253 52174368 57891004 69565824 86836506 104348736 115782008 130254759 173673012 208697472 231564016 260509518 347346024 390764277 463128032 521019036 694692048 781528554 926256064 1042038072 1172292831 1389384096 1563057108 1852512128 2084076144 2344585662 2778768192 3126114216 4168152288 4689171324 5557536384 6252228432 8336304576 9378342648 12504456864 16672609152 18756685296 25008913728 37513370592 50017827456 75026741184 150053482368