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20509345962 = 2347234318287
BaseRepresentation
bin10011000110011100…
…111100100010101010
31221221022221201120000
4103012130330202222
5314000343032322
613231042243430
71324145364360
oct230634744252
957838851500
1020509345962
118774a9a1a6
123b84656576
131c1b082991
14dc7bd1630
1580082d3ac
hex4c673c8aa

20509345962 has 160 divisors (see below), whose sum is σ = 56082419712. Its totient is φ = 5474389536.

The previous prime is 20509345907. The next prime is 20509345973. The reversal of 20509345962 is 26954390502.

20509345962 is a `hidden beast` number, since 2 + 0 + 50 + 9 + 3 + 4 + 596 + 2 = 666.

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 79 ways as a sum of consecutive naturals, for example, 1112383 + ... + 1130669.

Almost surely, 220509345962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20509345962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28041209856).

20509345962 is an abundant number, since it is smaller than the sum of its proper divisors (35573073750).

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

20509345962 is a wasteful number, since it uses less digits than its factorization.

20509345962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18374 (or 18365 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 20509345962 in words is "twenty billion, five hundred nine million, three hundred forty-five thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 43 46 54 63 69 81 86 126 129 138 161 162 189 207 258 301 322 378 387 414 483 567 602 621 774 903 966 989 1134 1161 1242 1449 1806 1863 1978 2322 2709 2898 2967 3483 3726 4347 5418 5934 6923 6966 8127 8694 8901 13041 13846 16254 17802 18287 20769 24381 26082 26703 36574 41538 48762 53406 54861 62307 80109 109722 124614 128009 160218 164583 186921 256018 329166 373842 384027 420601 493749 560763 768054 786341 841202 987498 1121526 1152081 1261803 1481247 1572682 2304162 2359023 2523606 2944207 2962494 3456243 3785409 4718046 5504387 5888414 6912486 7077069 7570818 8832621 10368729 11008774 11356227 14154138 16513161 17665242 18085843 20737458 21231207 22712454 26497863 33026322 34068681 36171686 42462414 49539483 52995726 54257529 63693621 68137362 79493589 99078966 108515058 126600901 127387242 148618449 158987178 162772587 238480767 253201802 297236898 325545174 379802703 445855347 476961534 488317761 759605406 891710694 976635522 1139408109 1464953283 2278816218 2929906566 3418224327 6836448654 10254672981 20509345962