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254136425984 = 297409917299
BaseRepresentation
bin1110110010101110110…
…1100001111000000000
3220021222012112001211122
43230223231201320000
513130432411112414
6312425413331412
724234510656510
oct3545355417000
9807865461748
10254136425984
1198862429321
1241305936b68
131ac71038c2c
14c42bd19840
15692603bb8e
hex3b2bb61e00

254136425984 has 80 divisors (see below), whose sum is σ = 580491120000. Its totient is φ = 108882745344.

The previous prime is 254136425981. The next prime is 254136425999. The reversal of 254136425984 is 489524631452.

It is a super-2 number, since 2×2541364259842 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254136425981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14682167 + ... + 14699465.

It is an arithmetic number, because the mean of its divisors is an integer number (7256139000).

Almost surely, 2254136425984 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 254136425984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290245560000).

254136425984 is an abundant number, since it is smaller than the sum of its proper divisors (326354694016).

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

254136425984 is an equidigital number, since it uses as much as digits as its factorization.

254136425984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21423 (or 21407 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 53.

The spelling of 254136425984 in words is "two hundred fifty-four billion, one hundred thirty-six million, four hundred twenty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1792 3584 4099 8198 16396 17299 28693 32792 34598 57386 65584 69196 114772 121093 131168 138392 229544 242186 262336 276784 459088 484372 524672 553568 918176 968744 1049344 1107136 1836352 1937488 2098688 2214272 3672704 3874976 4428544 7345408 7749952 8857088 14690816 15499904 30999808 61999616 70908601 141817202 283634404 496360207 567268808 992720414 1134537616 1985440828 2269075232 3970881656 4538150464 7941763312 9076300928 15883526624 18152601856 31767053248 36305203712 63534106496 127068212992 254136425984