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20478532284 = 22327615212557
BaseRepresentation
bin10011000100100111…
…011001101010111100
31221212011222020010200
4103010213121222330
5313420001013114
613224022003500
71323322436520
oct230447315274
957764866120
1020478532284
118759663451
123b76276590
131c14884532
14dc3a8dd80
157ecc93409
hex4c49d9abc

20478532284 has 144 divisors (see below), whose sum is σ = 60269017536. Its totient is φ = 5741798400.

The previous prime is 20478532279. The next prime is 20478532301. The reversal of 20478532284 is 48223587402.

20478532284 is a `hidden beast` number, since 20 + 4 + 78 + 532 + 28 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8007534 + ... + 8010090.

It is an arithmetic number, because the mean of its divisors is an integer number (418534844).

Almost surely, 220478532284 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 20478532284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30134508768).

20478532284 is an abundant number, since it is smaller than the sum of its proper divisors (39790485252).

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

20478532284 is a wasteful number, since it uses less digits than its factorization.

20478532284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156 (or 3151 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 20478532284 in words is "twenty billion, four hundred seventy-eight million, five hundred thirty-two thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 61 63 84 122 126 183 244 252 366 427 521 549 732 854 1042 1098 1281 1563 1708 2084 2196 2557 2562 3126 3647 3843 4689 5114 5124 6252 7294 7671 7686 9378 10228 10941 14588 15342 15372 17899 18756 21882 23013 30684 31781 32823 35798 43764 46026 53697 63562 65646 71596 92052 95343 107394 127124 131292 155977 161091 190686 214788 222467 286029 311954 322182 381372 444934 467931 572058 623908 644364 667401 889868 935862 1091839 1144116 1332197 1334802 1403793 1871724 2002203 2183678 2664394 2669604 2807586 3275517 3996591 4004406 4367356 5328788 5615172 6551034 7993182 8008812 9325379 9826551 11989773 13102068 15986364 18650758 19653102 23979546 27976137 37301516 39306204 47959092 55952274 81264017 83928411 111904548 162528034 167856822 243792051 325056068 335713644 487584102 568848119 731376153 975168204 1137696238 1462752306 1706544357 2275392476 2925504612 3413088714 5119633071 6826177428 10239266142 20478532284