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20300535504 = 2432316174551
BaseRepresentation
bin10010111010000000…
…011001011011010000
31221101210001001110100
4102322000121123100
5313033414114004
613154222532400
71316031463464
oct227200313320
957353031410
1020300535504
118678139877
123b26737100
131bb6a323b2
14da81984a4
157dc333739
hex4ba0196d0

20300535504 has 120 divisors (see below), whose sum is σ = 59608200704. Its totient is φ = 6441120000.

The previous prime is 20300535469. The next prime is 20300535529. The reversal of 20300535504 is 40553500302.

20300535504 is a `hidden beast` number, since 2 + 0 + 300 + 5 + 355 + 0 + 4 = 666.

It is a super-2 number, since 2×203005355042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235029 + ... + 309579.

Almost surely, 220300535504 is an apocalyptic number.

20300535504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20300535504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29804100352).

20300535504 is an abundant number, since it is smaller than the sum of its proper divisors (39307665200).

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

20300535504 is a wasteful number, since it uses less digits than its factorization.

20300535504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74657 (or 74648 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The spelling of 20300535504 in words is "twenty billion, three hundred million, five hundred thirty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 61 62 72 93 122 124 144 183 186 244 248 279 366 372 488 496 549 558 732 744 976 1098 1116 1464 1488 1891 2196 2232 2928 3782 4392 4464 5673 7564 8784 11346 15128 17019 22692 30256 34038 45384 68076 74551 90768 136152 149102 223653 272304 298204 447306 596408 670959 894612 1192816 1341918 1789224 2311081 2683836 3578448 4547611 4622162 5367672 6933243 9095222 9244324 10735344 13642833 13866486 18190444 18488648 20799729 27285666 27732972 36380888 36977296 40928499 41599458 54571332 55465944 72761776 81856998 83198916 109142664 110931888 140975941 163713996 166397832 218285328 281951882 327427992 332795664 422927823 563903764 654855984 845855646 1127807528 1268783469 1691711292 2255615056 2537566938 3383422584 5075133876 6766845168 10150267752 20300535504