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49644721104 = 24311177177899
BaseRepresentation
bin101110001111000011…
…100101001111010000
311202010211022010121020
4232033003211033100
51303133022033404
634450110355440
73405146111136
oct561703451720
9152124263536
1049644721104
111a066172830
129755abbb80
1348b2288b24
14258d48b756
1514585b6ed9
hexb8f0e53d0

49644721104 has 160 divisors (see below), whose sum is σ = 150226099200. Its totient is φ = 13959321600.

The previous prime is 49644721069. The next prime is 49644721111. The reversal of 49644721104 is 40112744694.

It is a happy number.

49644721104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 598347 + ... + 676245.

It is an arithmetic number, because the mean of its divisors is an integer number (938913120).

Almost surely, 249644721104 is an apocalyptic number.

49644721104 is a gapful number since it is divisible by the number (44) 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 49644721104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75113049600).

49644721104 is an abundant number, since it is smaller than the sum of its proper divisors (100581378096).

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

49644721104 is a wasteful number, since it uses less digits than its factorization.

49644721104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78009 (or 78003 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 49644721104 in words is "forty-nine billion, six hundred forty-four million, seven hundred twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 71 88 102 132 136 142 176 187 204 213 264 272 284 374 408 426 528 561 568 748 781 816 852 1122 1136 1207 1496 1562 1704 2244 2343 2414 2992 3124 3408 3621 4488 4686 4828 6248 7242 8976 9372 9656 12496 13277 14484 18744 19312 26554 28968 37488 39831 53108 57936 77899 79662 106216 155798 159324 212432 233697 311596 318648 467394 623192 637296 856889 934788 1246384 1324283 1713778 1869576 2570667 2648566 3427556 3739152 3972849 5141334 5297132 5530829 6855112 7945698 10282668 10594264 11061658 13710224 14567113 15891396 16592487 20565336 21188528 22123316 29134226 31782792 33184974 41130672 43701339 44246632 58268452 60839119 63565584 66369948 87402678 88493264 94024093 116536904 121678238 132739896 174805356 182517357 188048186 233073808 243356476 265479792 282072279 349610712 365034714 376096372 486712952 564144558 699221424 730069428 752192744 973425904 1034265023 1128289116 1460138856 1504385488 2068530046 2256578232 2920277712 3102795069 4137060092 4513156464 6205590138 8274120184 12411180276 16548240368 24822360552 49644721104