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59368814848 = 2872910111311
BaseRepresentation
bin110111010010101010…
…000011100100000000
312200020111220021111101
4313102222003210000
51433041404033343
643135035424144
74201133412520
oct672252034400
9180214807441
1059368814848
11231a616a342
12b60a5b5054
1357a1a63055
142c32b0d680
151827124e4d
hexdd2a83900

59368814848 has 144 divisors (see below), whose sum is σ = 141504975360. Its totient is φ = 24321024000.

The previous prime is 59368814839. The next prime is 59368814863. The reversal of 59368814848 is 84841886395.

It is a happy number.

It is a super-2 number, since 2×593688148482 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 59368814848.

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, 5243113 + ... + 5254423.

It is an arithmetic number, because the mean of its divisors is an integer number (982673440).

Almost surely, 259368814848 is an apocalyptic number.

59368814848 is a gapful number since it is divisible by the number (58) 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 59368814848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70752487680).

59368814848 is an abundant number, since it is smaller than the sum of its proper divisors (82136160512).

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

59368814848 is a wasteful number, since it uses less digits than its factorization.

59368814848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11464 (or 11450 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 64.

The spelling of 59368814848 in words is "fifty-nine billion, three hundred sixty-eight million, eight hundred fourteen thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 101 112 116 128 202 203 224 232 256 404 406 448 464 707 808 812 896 928 1414 1616 1624 1792 1856 2828 2929 3232 3248 3712 5656 5858 6464 6496 7424 11311 11312 11716 12928 12992 20503 22622 22624 23432 25856 25984 41006 45244 45248 46864 51968 79177 82012 90488 90496 93728 158354 164024 180976 180992 187456 316708 328019 328048 361952 374912 633416 656038 656096 723904 749824 1142411 1266832 1312076 1312192 1447808 2284822 2296133 2533664 2624152 2624384 2895616 4569644 4592266 5067328 5248304 5248768 7996877 9139288 9184532 10134656 10496608 15993754 18278576 18369064 20269312 20993216 31987508 33129919 36557152 36738128 41986432 63975016 66259838 73114304 73476256 83972864 127950032 132519676 146228608 146952512 231909433 255900064 265039352 292457216 293905024 463818866 511800128 530078704 587810048 927637732 1023600256 1060157408 1855275464 2047200512 2120314816 3710550928 4240629632 7421101856 8481259264 14842203712 29684407424 59368814848