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150697881731232 = 253211197241465867
BaseRepresentation
bin100010010000111100010101…
…101101011000000010100000
3201202120120120111001222200200
4202100330111231120002200
5124223013230210344412
61252301352351345200
743512363664454253
oct4220742555300240
9652516514058620
10150697881731232
1144020681608210
1214a9a313822200
1366119981bc884
14292db6027b09a
151264ee75619dc
hex890f15b580a0

150697881731232 has 144 divisors (see below), whose sum is σ = 469879057039392. Its totient is φ = 45434217346560.

The previous prime is 150697881731227. The next prime is 150697881731239. The reversal of 150697881731232 is 232137188796051.

It is a happy number.

150697881731232 is a `hidden beast` number, since 1 + 506 + 9 + 7 + 8 + 81 + 7 + 3 + 12 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 150697881731232.

It is not an unprimeable number, because it can be changed into a prime (150697881731239) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120108838 + ... + 121357029.

It is an arithmetic number, because the mean of its divisors is an integer number (3263049007218).

Almost surely, 2150697881731232 is an apocalyptic number.

150697881731232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

150697881731232 is an abundant number, since it is smaller than the sum of its proper divisors (319181175308160).

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

150697881731232 is a wasteful number, since it uses less digits than its factorization.

150697881731232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241466091 (or 241466080 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 150697881731232 in words is "one hundred fifty trillion, six hundred ninety-seven billion, eight hundred eighty-one million, seven hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 197 198 264 288 352 394 396 528 591 788 792 1056 1182 1576 1584 1773 2167 2364 3152 3168 3546 4334 4728 6304 6501 7092 8668 9456 13002 14184 17336 18912 19503 26004 28368 34672 39006 52008 56736 69344 78012 104016 156024 208032 312048 624096 241465867 482931734 724397601 965863468 1448795202 1931726936 2173192803 2656124537 2897590404 3863453872 4346385606 5312249074 5795180808 7726907744 7968373611 8692771212 10624498148 11590361616 15936747222 17385542424 21248996296 23180723232 23905120833 31873494444 34771084848 42497992592 47568775799 47810241666 63746988888 69542169696 84995985184 95137551598 95620483332 127493977776 142706327397 190275103196 191240966664 254987955552 285412654794 380550206392 382481933328 428118982191 523256533789 570825309588 761100412784 764963866656 856237964382 1046513067578 1141650619176 1522200825568 1569769601367 1712475928764 2093026135156 2283301238352 3139539202734 3424951857528 4186052270312 4566602476704 4709308804101 6279078405468 6849903715056 8372104540624 9418617608202 12558156810936 13699807430112 16744209081248 18837235216404 25116313621872 37674470432808 50232627243744 75348940865616 150697881731232