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421338084864 = 2932319516113
BaseRepresentation
bin1100010000110011011…
…01001111011000000000
31111021112202221101121020
412020121231033120000
523400400022203424
6521320545225440
742304102425654
oct6103155173000
91437482841536
10421338084864
11152763401384
12697a9332280
13309692c6b68
1416570080a64
15ae5ed79079
hex6219b4f600

421338084864 has 160 divisors (see below), whose sum is σ = 1172066125824. Its totient is φ = 134248857600.

The previous prime is 421338084829. The next prime is 421338084883. The reversal of 421338084864 is 468480833124.

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, 68921872 + ... + 68927984.

Almost surely, 2421338084864 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 421338084864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586033062912).

421338084864 is an abundant number, since it is smaller than the sum of its proper divisors (750728040960).

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

421338084864 is a wasteful number, since it uses less digits than its factorization.

421338084864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8108 (or 8092 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 51.

The spelling of 421338084864 in words is "four hundred twenty-one billion, three hundred thirty-eight million, eighty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1104 1472 1536 1951 2208 2944 3902 4416 5853 5888 6113 7804 8832 11706 11776 12226 15608 17664 18339 23412 24452 31216 35328 36678 44873 46824 48904 62432 73356 89746 93648 97808 124864 134619 140599 146712 179492 187296 195616 249728 269238 281198 293424 358984 374592 391232 421797 499456 538476 562396 586848 717968 749184 782464 843594 998912 1076952 1124792 1173696 1435936 1498368 1564928 1687188 2153904 2249584 2347392 2871872 2996736 3129856 3374376 4307808 4499168 4694784 5743744 6748752 8615616 8998336 9389568 11487488 11926463 13497504 17231232 17996672 22974976 23852926 26995008 34462464 35779389 35993344 47705852 53990016 68924928 71558778 71986688 95411704 107980032 143117556 190823408 215960064 274308649 286235112 381646816 548617298 572470224 763293632 822925947 1097234596 1144940448 1526587264 1645851894 2194469192 2289880896 3053174528 3291703788 4388938384 4579761792 6106349056 6583407576 8777876768 9159523584 13166815152 17555753536 18319047168 26333630304 35111507072 52667260608 70223014144 105334521216 140446028288 210669042432 421338084864