Search a number
-
+
421098794784 = 253229307164231
BaseRepresentation
bin1100010000010110111…
…00011010111100100000
31111020221002200012022200
412020023130122330200
523344402242413114
6521241120333200
742265135461153
oct6101334327440
91436832605280
10421098794784
11152650323188
1269741174200
133092b8641b5
141654a391c9a
15ae48d5d409
hex620b71af20

421098794784 has 144 divisors (see below), whose sum is σ = 1242835513920. Its totient is φ = 135083773440.

The previous prime is 421098794777. The next prime is 421098794803. The reversal of 421098794784 is 487497890124.

421098794784 is a `hidden beast` number, since 4 + 2 + 1 + 0 + 98 + 79 + 478 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2481949 + ... + 2646179.

It is an arithmetic number, because the mean of its divisors is an integer number (8630802180).

Almost surely, 2421098794784 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 421098794784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621417756960).

421098794784 is an abundant number, since it is smaller than the sum of its proper divisors (821736719136).

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

421098794784 is a wasteful number, since it uses less digits than its factorization.

421098794784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164583 (or 164572 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 421098794784 in words is "four hundred twenty-one billion, ninety-eight million, seven hundred ninety-four thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 307 348 464 522 614 696 921 928 1044 1228 1392 1842 2088 2456 2763 2784 3684 4176 4912 5526 7368 8352 8903 9824 11052 14736 17806 22104 26709 29472 35612 44208 53418 71224 80127 88416 106836 142448 160254 164231 213672 284896 320508 328462 427344 492693 641016 656924 854688 985386 1282032 1313848 1478079 1970772 2564064 2627696 2956158 3941544 4762699 5255392 5912316 7883088 9525398 11824632 14288097 15766176 19050796 23649264 28576194 38101592 42864291 47298528 50418917 57152388 76203184 85728582 100837834 114304776 151256751 152406368 171457164 201675668 228609552 302513502 342914328 403351336 453770253 457219104 605027004 685828656 806702672 907540506 1210054008 1371657312 1462148593 1613405344 1815081012 2420108016 2924297186 3630162024 4386445779 4840216032 5848594372 7260324048 8772891558 11697188744 13159337337 14520648096 17545783116 23394377488 26318674674 35091566232 46788754976 52637349348 70183132464 105274698696 140366264928 210549397392 421098794784