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51001656111616 = 29727756391249
BaseRepresentation
bin10111001100010101111111…
…00110000111001000000000
320200120201012002211212200011
423212022333212013020000
523141102342431032431
6300245500512034304
713512514404040660
oct1346127746071000
9220521162755604
1051001656111616
11152837542a0171
125878567532994
13225c587b3c702
14c846c99901a0
155d6a0b9aacb1
hex2e62bf987200

51001656111616 has 160 divisors (see below), whose sum is σ = 117090697680000. Its totient is φ = 21740021415936.

The previous prime is 51001656111611. The next prime is 51001656111647. The reversal of 51001656111616 is 61611165610015.

It is a super-2 number, since 2×510016561116162 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51001656111611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 558882760 + ... + 558974008.

It is an arithmetic number, because the mean of its divisors is an integer number (731816860500).

Almost surely, 251001656111616 is an apocalyptic number.

51001656111616 is a gapful number since it is divisible by the number (56) 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 51001656111616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58545348840000).

51001656111616 is an abundant number, since it is smaller than the sum of its proper divisors (66089041568384).

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

51001656111616 is an equidigital number, since it uses as much as digits as its factorization.

51001656111616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92114 (or 92098 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 40.

The spelling of 51001656111616 in words is "fifty-one trillion, one billion, six hundred fifty-six million, one hundred eleven thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 277 448 512 554 563 896 1108 1126 1792 1939 2216 2252 3584 3878 3941 4432 4504 7756 7882 8864 9008 15512 15764 17728 18016 31024 31528 35456 36032 62048 63056 70912 72064 91249 124096 126112 141824 144128 155951 182498 248192 252224 288256 311902 364996 496384 504448 623804 638743 729992 992768 1008896 1091657 1247608 1277486 1459984 2017792 2183314 2495216 2554972 2919968 4366628 4990432 5109944 5839936 8733256 9980864 10219888 11679872 17466512 19961728 20439776 23359744 25275973 34933024 39923456 40879552 46719488 50551946 51373187 69866048 79846912 81759104 101103892 102746374 139732096 163518208 176931811 202207784 205492748 279464192 327036416 353863622 359612309 404415568 410985496 558928384 707727244 719224618 808831136 821970992 1415454488 1438449236 1617662272 1643941984 2830908976 2876898472 3235324544 3287883968 5661817952 5753796944 6470649088 6575767936 11323635904 11507593888 12941298176 13151535872 14230372799 22647271808 23015187776 26303071744 28460745598 45294543616 46030375552 56921491196 90589087232 92060751104 99612609593 113842982392 184121502208 199225219186 227685964784 398450438372 455371929568 796900876744 910743859136 1593801753488 1821487718272 3187603506976 3642975436544 6375207013952 7285950873088 12750414027904 25500828055808 51001656111616