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20649603864 = 23319831075099
BaseRepresentation
bin10011001110110011…
…111111001100011000
31222022002212120020010
4103032303333030120
5314242244310424
613253012401520
71330500510501
oct231663771430
958262776203
1020649603864
11883718801a
1240036162a0
131c41150516
14ddc6a1ba8
1580ccd6229
hex4cecff318

20649603864 has 128 divisors (see below), whose sum is σ = 55520640000. Its totient is φ = 6380901504.

The previous prime is 20649603853. The next prime is 20649603901. The reversal of 20649603864 is 46830694602.

It is a super-2 number, since 2×206496038642 (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 31 ways as a sum of consecutive naturals, for example, 4047187 + ... + 4052285.

It is an arithmetic number, because the mean of its divisors is an integer number (433755000).

Almost surely, 220649603864 is an apocalyptic number.

20649603864 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 20649603864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27760320000).

20649603864 is an abundant number, since it is smaller than the sum of its proper divisors (34871036136).

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

20649603864 is a wasteful number, since it uses less digits than its factorization.

20649603864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5317 (or 5313 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 20649603864 in words is "twenty billion, six hundred forty-nine million, six hundred three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 83 107 114 152 166 214 228 249 321 332 428 456 498 642 664 856 996 1284 1577 1992 2033 2568 3154 4066 4731 5099 6099 6308 8132 8881 9462 10198 12198 12616 15297 16264 17762 18924 20396 24396 26643 30594 35524 37848 40792 48792 53286 61188 71048 96881 106572 122376 168739 193762 213144 290643 337478 387524 423217 506217 545593 581286 674956 775048 846434 1012434 1091186 1162572 1269651 1349912 1636779 1692868 2024868 2182372 2325144 2539302 3273558 3385736 4049736 4364744 5078604 6547116 8041123 10157208 10366267 13094232 16082246 20732534 24123369 31098801 32164492 41465068 45284219 48246738 62197602 64328984 82930136 90568438 96493476 124395204 135852657 181136876 192986952 248790408 271705314 362273752 543410628 860400161 1086821256 1720800322 2581200483 3441600644 5162400966 6883201288 10324801932 20649603864