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115838149248 = 273421152951
BaseRepresentation
bin110101111100001111…
…1011110001010000000
3102001222221220200120000
41223320133132022000
53344214031233443
6125114301320000
711240402010513
oct1537037361200
9361887820500
10115838149248
1145143685048
121a549b66000
13ac00ba79a3
14586c700d7a
15302e90e8d3
hex1af87de280

115838149248 has 160 divisors (see below), whose sum is σ = 346372799520. Its totient is φ = 38428992000.

The previous prime is 115838149241. The next prime is 115838149303. The reversal of 115838149248 is 842941838511.

115838149248 is a `hidden beast` number, since 1 + 1 + 583 + 8 + 14 + 9 + 2 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 115838149194 and 115838149203.

It is not an unprimeable number, because it can be changed into a prime (115838149241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2161173 + ... + 2214123.

It is an arithmetic number, because the mean of its divisors is an integer number (2164829997).

Almost surely, 2115838149248 is an apocalyptic number.

115838149248 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 115838149248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173186399760).

115838149248 is an abundant number, since it is smaller than the sum of its proper divisors (230534650272).

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

115838149248 is an equidigital number, since it uses as much as digits as its factorization.

115838149248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53188 (or 53167 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The spelling of 115838149248 in words is "one hundred fifteen billion, eight hundred thirty-eight million, one hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 211 216 288 324 384 422 432 576 633 648 844 864 1152 1266 1296 1688 1728 1899 2532 2592 3376 3456 3798 5064 5184 5697 6752 7596 10128 10368 11394 13504 15192 17091 20256 22788 27008 30384 34182 40512 45576 52951 60768 68364 81024 91152 105902 121536 136728 158853 182304 211804 243072 273456 317706 364608 423608 476559 546912 635412 729216 847216 953118 1093824 1270824 1429677 1694432 1906236 2187648 2541648 2859354 3388864 3812472 4289031 5083296 5718708 6777728 7624944 8578062 10166592 11172661 11437416 15249888 17156124 20333184 22345322 22874832 30499776 33517983 34312248 44690644 45749664 60999552 67035966 68624496 89381288 91499328 100553949 134071932 137248992 178762576 182998656 201107898 268143864 274497984 301661847 357525152 402215796 536287728 548995968 603323694 715050304 804431592 904985541 1072575456 1206647388 1430100608 1608863184 1809971082 2145150912 2413294776 3217726368 3619942164 4290301824 4826589552 6435452736 7239884328 9653179104 12870905472 14479768656 19306358208 28959537312 38612716416 57919074624 115838149248