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2553061359312 = 2432431915721523
BaseRepresentation
bin100101001001101110010…
…100001011111011010000
3100001001220020100220022200
4211021232110023323100
5313312132201444222
65232505445203200
7352311145331112
oct45115624137320
910031806326280
102553061359312
118a4824640952
12352973100500
131569a276ac79
148b7d6c1d3b2
1546627119eac
hex2526e50bed0

2553061359312 has 120 divisors (see below), whose sum is σ = 7311910635744. Its totient is φ = 831147270912.

The previous prime is 2553061359301. The next prime is 2553061359379. The reversal of 2553061359312 is 2139531603552.

2553061359312 is a `hidden beast` number, since 2 + 5 + 5 + 30 + 6 + 13 + 593 + 12 = 666.

It is a super-2 number, since 2×25530613593122 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 118609383 + ... + 118630905.

Almost surely, 22553061359312 is an apocalyptic number.

It is an amenable number.

2553061359312 is an abundant number, since it is smaller than the sum of its proper divisors (4758849276432).

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

2553061359312 is a wasteful number, since it uses less digits than its factorization.

2553061359312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40737 (or 40728 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The spelling of 2553061359312 in words is "two trillion, five hundred fifty-three billion, sixty-one million, three hundred fifty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 2064 3096 6192 19157 21523 38314 43046 57471 64569 76628 86092 114942 129138 153256 172184 172413 193707 229884 258276 306512 344368 344826 387414 459768 516552 689652 774828 823751 919536 925489 1033104 1379304 1549656 1647502 1850978 2471253 2758608 2776467 3099312 3295004 3701956 4942506 5552934 6590008 7403912 7413759 8329401 9885012 11105868 13180016 14807824 14827518 16658802 19770024 22211736 29655036 33317604 39540048 44423472 59310072 66635208 118620144 133270416 412316111 824632222 1236948333 1649264444 2473896666 3298528888 3710844999 4947793332 6597057776 7421689998 9895586664 14843379996 17729592773 19791173328 29686759992 35459185546 53188778319 59373519984 70918371092 106377556638 141836742184 159566334957 212755113276 283673484368 319132669914 425510226552 638265339828 851020453104 1276530679656 2553061359312