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20393119032 = 23311137737687
BaseRepresentation
bin10010111111100001…
…100100110100111000
31221122020020210011220
4102333201210310320
5313231114302112
613211331152040
71321234436346
oct227741446470
957566223156
1020393119032
118715425190
123b51745620
131bccc7a250
14db65b8996
157e552098c
hex4bf864d38

20393119032 has 128 divisors (see below), whose sum is σ = 59981160960. Its totient is φ = 5696248320.

The previous prime is 20393119031. The next prime is 20393119039. The reversal of 20393119032 is 23091139302.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 20393118984 and 20393119002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20393119031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2649093 + ... + 2656779.

It is an arithmetic number, because the mean of its divisors is an integer number (468602820).

Almost surely, 220393119032 is an apocalyptic number.

20393119032 is a gapful number since it is divisible by the number (22) 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 20393119032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29990580480).

20393119032 is an abundant number, since it is smaller than the sum of its proper divisors (39588041928).

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

20393119032 is a wasteful number, since it uses less digits than its factorization.

20393119032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8493 (or 8489 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The spelling of 20393119032 in words is "twenty billion, three hundred ninety-three million, one hundred nineteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 773 858 1144 1546 1716 2319 3092 3432 4638 6184 7687 8503 9276 10049 15374 17006 18552 20098 23061 25509 30147 30748 34012 40196 46122 51018 60294 61496 68024 80392 84557 92244 99931 102036 110539 120588 169114 184488 199862 204072 221078 241176 253671 299793 331617 338228 399724 442156 507342 599586 663234 676456 799448 884312 1014684 1099241 1199172 1326468 2029368 2198482 2398344 2652936 3297723 4396964 5942051 6595446 8793928 11884102 13190892 17826153 23768204 26381784 35652306 47536408 65362561 71304612 77246663 130725122 142609224 154493326 196087683 231739989 261450244 308986652 392175366 463479978 522900488 617973304 784350732 849713293 926959956 1568701464 1699426586 1853919912 2549139879 3398853172 5098279758 6797706344 10196559516 20393119032