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113712958128 = 243711173177841
BaseRepresentation
bin110100111100111010…
…0100000101010110000
3101212111211222210101210
41221321310200222300
53330341004130003
6124123343200120
711133625124160
oct1517164405260
9355454883353
10113712958128
1144253000550
121a0562a6040
13a952809953
14570a3785a0
152e5806d503
hex1a79d20ab0

113712958128 has 160 divisors (see below), whose sum is σ = 368363423232. Its totient is φ = 29364940800.

The previous prime is 113712958091. The next prime is 113712958147. The reversal of 113712958128 is 821859217311.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 550488 + ... + 728328.

Almost surely, 2113712958128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113712958128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184181711616).

113712958128 is an abundant number, since it is smaller than the sum of its proper divisors (254650465104).

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

113712958128 is a wasteful number, since it uses less digits than its factorization.

113712958128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178043 (or 178037 counting only the distinct ones).

The product of its digits is 241920, while the sum is 48.

The spelling of 113712958128 in words is "one hundred thirteen billion, seven hundred twelve million, nine hundred fifty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 173 176 231 264 308 336 346 462 519 528 616 692 924 1038 1211 1232 1384 1848 1903 2076 2422 2768 3633 3696 3806 4152 4844 5709 7266 7612 8304 9688 11418 13321 14532 15224 19376 22836 26642 29064 30448 39963 45672 53284 58128 79926 91344 106568 159852 177841 213136 319704 355682 533523 639408 711364 1067046 1244887 1422728 1956251 2134092 2489774 2845456 3734661 3912502 4268184 4979548 5868753 7469322 7825004 8536368 9959096 11737506 13693757 14938644 15650008 19918192 23475012 27387514 29877288 30766493 31300016 41081271 46950024 54775028 59754576 61532986 82162542 92299479 93900048 109550056 123065972 164325084 184598958 215365451 219100112 246131944 328650168 338431423 369197916 430730902 492263888 646096353 657300336 676862846 738395832 861461804 1015294269 1292192706 1353725692 1476791664 1722923608 2030588538 2369019961 2584385412 2707451384 3445847216 4061177076 4738039922 5168770824 5414902768 7107059883 8122354152 9476079844 10337541648 14214119766 16244708304 18952159688 28428239532 37904319376 56856479064 113712958128