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513680894896 = 241323699115359
BaseRepresentation
bin1110111100110011100…
…01000110101110110000
31211002220022020011220111
413132121301012232300
531404004302114041
61031552020151104
752053330364321
oct7363161065660
91732808204814
10513680894896
1118893a523304
128367a838494
13395945ccb60
141ac10192448
15d566c31981
hex7799c46bb0

513680894896 has 80 divisors (see below), whose sum is σ = 1118648401920. Its totient is φ = 226728311040.

The previous prime is 513680894821. The next prime is 513680894899. The reversal of 513680894896 is 698498086315.

It is not an unprimeable number, because it can be changed into a prime (513680894899) 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, 33437265 + ... + 33452623.

It is an arithmetic number, because the mean of its divisors is an integer number (13983105024).

Almost surely, 2513680894896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513680894896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559324200960).

513680894896 is an abundant number, since it is smaller than the sum of its proper divisors (604967507024).

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

513680894896 is a wasteful number, since it uses less digits than its factorization.

513680894896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22394 (or 22388 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 67.

The spelling of 513680894896 in words is "five hundred thirteen billion, six hundred eighty million, eight hundred ninety-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 598 1196 2392 4784 6991 13982 15359 27964 30718 55928 61436 90883 111856 122872 160793 181766 199667 245744 321586 353257 363532 399334 643172 706514 727064 798668 1286344 1413028 1454128 1597336 2090309 2572688 2826056 3194672 4180618 4592341 5652112 8361236 9184682 16722472 18369364 33444944 36738728 73477456 107374769 214749538 429499076 858998152 1395871997 1717996304 2469619687 2791743994 4939239374 5583487988 9878478748 11166975976 19756957496 22333951952 32105055931 39513914992 64210111862 128420223724 256840447448 513680894896