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129050157312 = 283354134511
BaseRepresentation
bin111100000101111111…
…1010010000100000000
3110100002201122020102000
41320023333102010000
54103243320013222
6135141304424000
712215661144456
oct1701377220400
9410081566360
10129050157312
114a8034a427a
1221016778000
13c22817953b
1463632969d6
15355478d9ac
hex1e0bfd2100

129050157312 has 144 divisors (see below), whose sum is σ = 382340501760. Its totient is φ = 42935961600.

The previous prime is 129050157281. The next prime is 129050157323. The reversal of 129050157312 is 213751050921.

129050157312 is a `hidden beast` number, since 1 + 2 + 90 + 501 + 57 + 3 + 12 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3722137 + ... + 3756647.

Almost surely, 2129050157312 is an apocalyptic number.

129050157312 is a gapful number since it is divisible by the number (12) 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 129050157312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191170250880).

129050157312 is an abundant number, since it is smaller than the sum of its proper divisors (253290344448).

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

129050157312 is an equidigital number, since it uses as much as digits as its factorization.

129050157312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35077 (or 35057 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 129050157312 in words is "one hundred twenty-nine billion, fifty million, one hundred fifty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 541 576 768 864 1082 1152 1623 1728 2164 2304 3246 3456 4328 4869 6492 6912 8656 9738 12984 14607 17312 19476 25968 29214 34511 34624 38952 51936 58428 69022 69248 77904 103533 103872 116856 138044 138496 155808 207066 207744 233712 276088 310599 311616 414132 415488 467424 552176 621198 623232 828264 931797 934848 1104352 1242396 1246464 1656528 1863594 1869696 2208704 2484792 3313056 3727188 3739392 4417408 4969584 6626112 7454376 8834816 9939168 13252224 14908752 18670451 19878336 26504448 29817504 37340902 39756672 56011353 59635008 74681804 79513344 112022706 119270016 149363608 168034059 224045412 238540032 298727216 336068118 448090824 504102177 597454432 672136236 896181648 1008204354 1194908864 1344272472 1792363296 2016408708 2389817728 2688544944 3584726592 4032817416 4779635456 5377089888 7169453184 8065634832 10754179776 14338906368 16131269664 21508359552 32262539328 43016719104 64525078656 129050157312