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151683981312 = 213317363061
BaseRepresentation
bin1000110101000100010…
…0011110000000000000
3112111112010011121221210
42031101010132000000
54441122044400222
6153403242050120
713646604365523
oct2152104360000
9474463147853
10151683981312
1159368720246
12254927a9940
13113c440a7c6
1474ad2a6bba
153e2b86bd0c
hex235111e000

151683981312 has 112 divisors (see below), whose sum is σ = 428259221712. Its totient is φ = 47587000320.

The previous prime is 151683981269. The next prime is 151683981343. The reversal of 151683981312 is 213189386151.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 236262 + ... + 599322.

It is an arithmetic number, because the mean of its divisors is an integer number (3823743051).

Almost surely, 2151683981312 is an apocalyptic number.

151683981312 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 151683981312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214129610856).

151683981312 is an abundant number, since it is smaller than the sum of its proper divisors (276575240400).

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

151683981312 is an equidigital number, since it uses as much as digits as its factorization.

151683981312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363107 (or 363083 counting only the distinct ones).

The product of its digits is 311040, while the sum is 48.

The spelling of 151683981312 in words is "one hundred fifty-one billion, six hundred eighty-three million, nine hundred eighty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2048 2176 3072 3264 4096 4352 6144 6528 8192 8704 12288 13056 17408 24576 26112 34816 52224 69632 104448 139264 208896 363061 417792 726122 1089183 1452244 2178366 2904488 4356732 5808976 6172037 8713464 11617952 12344074 17426928 18516111 23235904 24688148 34853856 37032222 46471808 49376296 69707712 74064444 92943616 98752592 139415424 148128888 185887232 197505184 278830848 296257776 371774464 395010368 557661696 592515552 743548928 790020736 1115323392 1185031104 1487097856 1580041472 2230646784 2370062208 2974195712 3160082944 4461293568 4740124416 6320165888 8922587136 9480248832 12640331776 18960497664 25280663552 37920995328 50561327104 75841990656 151683981312