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156138333768 = 233297181123517
BaseRepresentation
bin1001000101101010010…
…0011110011001001000
3112221000112211011210200
42101122210132121020
510024232403140033
6155421242212200
714165152640034
oct2213244363110
9487015734720
10156138333768
116024402316a
12263164b4060
13119541c1011
1477b2acd1c4
1540dc940013
hex245a91e648

156138333768 has 96 divisors (see below), whose sum is σ = 429598074360. Its totient is φ = 51224555520.

The previous prime is 156138333751. The next prime is 156138333787. The reversal of 156138333768 is 867333831651.

156138333768 is a `hidden beast` number, since 1 + 561 + 3 + 8 + 3 + 3 + 3 + 76 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27112256964 + 129026076804 = 164658^2 + 359202^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1202346 + ... + 1325862.

Almost surely, 2156138333768 is an apocalyptic number.

156138333768 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 156138333768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214799037180).

156138333768 is an abundant number, since it is smaller than the sum of its proper divisors (273459740592).

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

156138333768 is a wasteful number, since it uses less digits than its factorization.

156138333768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123807 (or 123800 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 156138333768 in words is "one hundred fifty-six billion, one hundred thirty-eight million, three hundred thirty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 181 194 291 362 388 543 582 724 776 873 1086 1164 1448 1629 1746 2172 2328 3258 3492 4344 6516 6984 13032 17557 35114 52671 70228 105342 123517 140456 158013 210684 247034 316026 370551 421368 494068 632052 741102 988136 1111653 1264104 1482204 2223306 2964408 4446612 8893224 11981149 22356577 23962298 35943447 44713154 47924596 67069731 71886894 89426308 95849192 107830341 134139462 143773788 178852616 201209193 215660682 268278924 287547576 402418386 431321364 536557848 804836772 862642728 1609673544 2168587969 4337175938 6505763907 8674351876 13011527814 17348703752 19517291721 26023055628 39034583442 52046111256 78069166884 156138333768