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254100051342152 = 2317231631028948437
BaseRepresentation
bin111001110001101001000111…
…010011000011001101001000
31020022200201122110201211002022
4321301221013103003031020
5231301133401120422102
62300231541352224012
7104344060102315121
oct7161510723031510
91208621573654068
10254100051342152
1173a67254676234
12245ba36109b008
13aba26bbb25292
1446a6718355048
151e59ad36865a2
hexe71a474c3348

254100051342152 has 128 divisors (see below), whose sum is σ = 529688362694400. Its totient is φ = 113662419222528.

The previous prime is 254100051342149. The next prime is 254100051342223. The reversal of 254100051342152 is 251243150001452.

It is a super-2 number, since 2×2541000513421522 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5245966478 + ... + 5246014914.

It is an arithmetic number, because the mean of its divisors is an integer number (4138190333550).

Almost surely, 2254100051342152 is an apocalyptic number.

It is an amenable number.

254100051342152 is an abundant number, since it is smaller than the sum of its proper divisors (275588311352248).

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

254100051342152 is a wasteful number, since it uses less digits than its factorization.

254100051342152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58935 (or 58931 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The spelling of 254100051342152 in words is "two hundred fifty-four trillion, one hundred billion, fifty-one million, three hundred forty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 8 17 23 34 46 68 92 136 163 184 326 391 652 782 1304 1564 2771 3128 3749 5542 7498 10289 11084 14996 20578 22168 29992 41156 48437 63733 82312 96874 127466 174913 193748 236647 254932 349826 387496 473294 509864 699652 823429 946588 1114051 1399304 1646858 1677107 1893176 2228102 3293716 3354214 4022999 4456204 6587432 6708428 7895231 8045998 8912408 13416856 15790462 16091996 18938867 28510819 31580924 32183992 37877734 38573461 57021638 63161848 75755468 77146922 114043276 134218927 151510936 154293844 181590313 228086552 268437854 308587688 363180626 498368293 536875708 655748837 726361252 996736586 1073751416 1311497674 1452722504 1993473172 2622995348 3087035321 3986946344 5245990696 6174070642 8472260981 11462470739 12348141284 16944521962 22924941478 24696282568 33889043924 45849882956 67778087848 81234031759 91699765912 162468063518 194862002563 324936127036 389724005126 649872254072 779448010252 1380978539903 1558896020504 1868382730457 2761957079806 3736765460914 5523914159612 7473530921828 11047828319224 14947061843656 31762506417769 63525012835538 127050025671076 254100051342152