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20192596956 = 22327349439523
BaseRepresentation
bin10010110011100100…
…101001001111011100
31221010020221012121100
4102303210221033130
5312323301100311
613135405233100
71313251146030
oct226344511734
957106835540
1020192596956
118622215a64
123ab6562790
131b9a56c42c
14d97adc1c0
157d2b11a56
hex4b39293dc

20192596956 has 144 divisors (see below), whose sum is σ = 58746688000. Its totient is φ = 5728703616.

The previous prime is 20192596951. The next prime is 20192596961. The reversal of 20192596956 is 65969529102.

It is an interprime number because it is at equal distance from previous prime (20192596951) and next prime (20192596961).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20192596951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38608911 + ... + 38609433.

Almost surely, 220192596956 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 20192596956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29373344000).

20192596956 is an abundant number, since it is smaller than the sum of its proper divisors (38554091044).

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

20192596956 is a wasteful number, since it uses less digits than its factorization.

20192596956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 20192596956 in words is "twenty billion, one hundred ninety-two million, five hundred ninety-six thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 349 439 523 698 878 1046 1047 1317 1396 1569 1756 2092 2094 2443 2634 3073 3138 3141 3661 3951 4188 4707 4886 5268 6146 6276 6282 7322 7329 7902 9219 9414 9772 10983 12292 12564 14644 14658 15804 18438 18828 21966 21987 27657 29316 32949 36876 43932 43974 55314 65898 87948 110628 131796 153211 182527 229597 306422 365054 459194 459633 547581 612844 688791 730108 918388 919266 1072477 1095162 1277689 1377582 1378899 1607179 1642743 1838532 2066373 2144954 2190324 2555378 2755164 2757798 3214358 3217431 3285486 3833067 4132746 4289908 4821537 5110756 5515596 6428716 6434862 6570972 7666134 8265492 9643074 9652293 11499201 12869724 14464611 15332268 19286148 19304586 22998402 28929222 38609172 45996804 57858444 80129353 160258706 240388059 320517412 480776118 560905471 721164177 961552236 1121810942 1442328354 1682716413 2243621884 2884656708 3365432826 5048149239 6730865652 10096298478 20192596956