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504738374920 = 235134783248821
BaseRepresentation
bin1110101100001001100…
…00000110010100001000
31210020211002022002122221
413112010300012110020
531232201010444140
61023512411023424
751315613253443
oct7260460062410
91706732262587
10504738374920
1118507072172a
12819a3a3ab74
133879aa26810
141a60266065a
15d1e1b0b14a
hex7584c06508

504738374920 has 128 divisors (see below), whose sum is σ = 1264095383040. Its totient is φ = 180201415680.

The previous prime is 504738374893. The next prime is 504738374947. The reversal of 504738374920 is 29473837405.

It is an interprime number because it is at equal distance from previous prime (504738374893) and next prime (504738374947).

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 1904110 + ... + 2152930.

It is an arithmetic number, because the mean of its divisors is an integer number (9875745180).

Almost surely, 2504738374920 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 504738374920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632047691520).

504738374920 is an abundant number, since it is smaller than the sum of its proper divisors (759357008120).

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

504738374920 is a wasteful number, since it uses less digits than its factorization.

504738374920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248975 (or 248971 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 52.

The spelling of 504738374920 in words is "five hundred four billion, seven hundred thirty-eight million, three hundred seventy-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 47 52 65 83 94 104 130 166 188 235 260 332 376 415 470 520 611 664 830 940 1079 1222 1660 1880 2158 2444 3055 3320 3901 4316 4888 5395 6110 7802 8632 10790 12220 15604 19505 21580 24440 31208 39010 43160 50713 78020 101426 156040 202852 248821 253565 405704 497642 507130 995284 1014260 1244105 1990568 2028520 2488210 3234673 4976420 6469346 9952840 11694587 12938692 16173365 20652143 23389174 25877384 32346730 41304286 46778348 58472935 64693460 82608572 93556696 103260715 116945870 129386920 152029631 165217144 206521430 233891740 268477859 304059262 413042860 467783480 536955718 608118524 760148155 826085720 970650721 1073911436 1216237048 1342389295 1520296310 1941301442 2147822872 2684778590 3040592620 3882602884 4853253605 5369557180 6081185240 7765205768 9706507210 10739114360 12618459373 19413014420 25236918746 38826028840 50473837492 63092296865 100947674984 126184593730 252369187460 504738374920