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18137128728 = 233295329277
BaseRepresentation
bin10000111001000011…
…101001111100011000
31201211000012121021110
4100321003221330120
5244121101104403
612155421340320
71211312023215
oct207103517430
951730177243
1018137128728
117767a33294
1236221076a0
131930773a44
14c40b24b0c
15712444103
hex4390e9f18

18137128728 has 96 divisors (see below), whose sum is σ = 47813245200. Its totient is φ = 5726482944.

The previous prime is 18137128697. The next prime is 18137128729. The reversal of 18137128728 is 82782173181.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18137128729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1950426 + ... + 1959702.

Almost surely, 218137128728 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 18137128728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23906622600).

18137128728 is an abundant number, since it is smaller than the sum of its proper divisors (29676116472).

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

18137128728 is a wasteful number, since it uses less digits than its factorization.

18137128728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9421 (or 9364 counting only the distinct ones).

The product of its digits is 301056, while the sum is 48.

The spelling of 18137128728 in words is "eighteen billion, one hundred thirty-seven million, one hundred twenty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 53 58 87 106 116 159 174 212 232 318 348 424 636 696 1272 1537 2809 3074 4611 5618 6148 8427 9222 9277 11236 12296 16854 18444 18554 22472 27831 33708 36888 37108 55662 67416 74216 81461 111324 162922 222648 244383 269033 325844 488766 491681 538066 651688 807099 977532 983362 1076132 1475043 1614198 1955064 1966724 2152264 2950086 3228396 3933448 5900172 6456792 11800344 14258749 26059093 28517498 42776247 52118186 57034996 78177279 85552494 104236372 114069992 156354558 171104988 208472744 312709116 342209976 625418232 755713697 1511427394 2267141091 3022854788 4534282182 6045709576 9068564364 18137128728