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55797142351776 = 2537743111751631
BaseRepresentation
bin11001010111111010010001…
…10110010110111110100000
321022120011011210020120010120
430223331020312112332200
524303140021420224101
6314400504153000240
714516132126366340
oct1453751066267640
9238504153216116
1055797142351776
11168624872579a1
126311a3a0b3080
132519856700ca7
14dac84b9a6d20
1566b62984cb36
hex32bf48d96fa0

55797142351776 has 96 divisors (see below), whose sum is σ = 167616719843328. Its totient is φ = 15920584216320.

The previous prime is 55797142351733. The next prime is 55797142351823. The reversal of 55797142351776 is 67715324179755.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×557971423517762 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55797142351776.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55376520 + ... + 56375111.

It is an arithmetic number, because the mean of its divisors is an integer number (1746007498368).

Almost surely, 255797142351776 is an apocalyptic number.

55797142351776 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

55797142351776 is an abundant number, since it is smaller than the sum of its proper divisors (111819577491552).

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

55797142351776 is a wasteful number, since it uses less digits than its factorization.

55797142351776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111752394 (or 111752386 counting only the distinct ones).

The product of its digits is 388962000, while the sum is 69.

The spelling of 55797142351776 in words is "fifty-five trillion, seven hundred ninety-seven billion, one hundred forty-two million, three hundred fifty-one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 743 1486 2229 2972 4458 5201 5944 8916 10402 11888 15603 17832 20804 23776 31206 35664 41608 62412 71328 83216 124824 166432 249648 499296 111751631 223503262 335254893 447006524 670509786 782261417 894013048 1341019572 1564522834 1788026096 2346784251 2682039144 3129045668 3576052192 4693568502 5364078288 6258091336 9387137004 10728156576 12516182672 18774274008 25032365344 37548548016 75097096032 83031461833 166062923666 249094385499 332125847332 498188770998 581220232831 664251694664 996377541996 1162440465662 1328503389328 1743660698493 1992755083992 2324880931324 2657006778656 3487321396986 3985510167984 4649761862648 6974642793972 7971020335968 9299523725296 13949285587944 18599047450592 27898571175888 55797142351776