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49038987017664 = 263374054149059
BaseRepresentation
bin10110010011001110001110…
…11001101011110111000000
320102122002012022200112122000
423021213013121223313000
522411423321134031124
6252144111041544000
713220643546021450
oct1311470731536700
9212562168615560
1049038987017664
1114697354800656
125600101645000
1321494836a5677
14c176dd001d60
155a093aed76c9
hex2c99c766bdc0

49038987017664 has 112 divisors (see below), whose sum is σ = 164760617798400. Its totient is φ = 14011139144448.

The previous prime is 49038987017569. The next prime is 49038987017707. The reversal of 49038987017664 is 46671078983094.

49038987017664 is a `hidden beast` number, since 4 + 9 + 0 + 389 + 8 + 70 + 176 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 49038987017592 and 49038987017601.

It is a congruent number.

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, 2027062434 + ... + 2027086625.

Almost surely, 249038987017664 is an apocalyptic number.

It is an amenable number.

49038987017664 is an abundant number, since it is smaller than the sum of its proper divisors (115721630780736).

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

49038987017664 is a wasteful number, since it uses less digits than its factorization.

49038987017664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4054149087 (or 4054149071 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 49038987017664 in words is "forty-nine trillion, thirty-eight billion, nine hundred eighty-seven million, seventeen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 4054149059 8108298118 12162447177 16216596236 24324894354 28379043413 32433192472 36487341531 48649788708 56758086826 64866384944 72974683062 85137130239 97299577416 109462024593 113516173652 129732769888 145949366124 170274260478 194599154832 218924049186 227032347304 255411390717 259465539776 291898732248 340548520956 389198309664 437848098372 454064694608 510822781434 583797464496 681097041912 766234172151 778396619328 875696196744 908129389216 1021645562868 1167594928992 1362194083824 1532468344302 1751392393488 1816258778432 2043291125736 2335189857984 2724388167648 3064936688604 3502784786976 4086582251472 5448776335296 6129873377208 7005569573952 8173164502944 12259746754416 16346329005888 24519493508832 49038987017664