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20692146360 = 23351754118749
BaseRepresentation
bin10011010001010110…
…010001100010111000
31222102001220221120010
4103101112101202320
5314334142140420
613301132301520
71331525225214
oct232126214270
958361827503
1020692146360
1188591a4906
1240159118a0
131c49bc73b2
1410041b7944
158118db4e0
hex4d15918b8

20692146360 has 128 divisors (see below), whose sum is σ = 65853000000. Its totient is φ = 5183447040.

The previous prime is 20692146353. The next prime is 20692146379. The reversal of 20692146360 is 6364129602.

It is a super-2 number, since 2×206921463602 (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, 1094266 + ... + 1113014.

Almost surely, 220692146360 is an apocalyptic number.

20692146360 is a gapful number since it is divisible by the number (20) 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 20692146360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32926500000).

20692146360 is an abundant number, since it is smaller than the sum of its proper divisors (45160853640).

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

20692146360 is a wasteful number, since it uses less digits than its factorization.

20692146360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19321 (or 19317 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 20692146360 in words is "twenty billion, six hundred ninety-two million, one hundred forty-six thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 541 680 1020 1082 1623 2040 2164 2705 3246 4328 5410 6492 8115 9197 10820 12984 16230 18394 18749 21640 27591 32460 36788 37498 45985 55182 56247 64920 73576 74996 91970 93745 110364 112494 137955 149992 183940 187490 220728 224988 275910 281235 318733 367880 374980 449976 551820 562470 637466 749960 956199 1103640 1124940 1274932 1593665 1912398 2249880 2549864 3187330 3824796 4780995 6374660 7649592 9561990 10143209 12749320 19123980 20286418 30429627 38247960 40572836 50716045 60859254 81145672 101432090 121718508 152148135 172434553 202864180 243437016 304296270 344869106 405728360 517303659 608592540 689738212 862172765 1034607318 1217185080 1379476424 1724345530 2069214636 2586518295 3448691060 4138429272 5173036590 6897382120 10346073180 20692146360