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20372260005656 = 231319731171120607
BaseRepresentation
bin1001010000111010010010…
…10100100010011100011000
32200010120100211100011012122
410220131021110202130120
510132234342030140111
6111154515334000412
74201563410612546
oct450351124423430
980116324304178
1020372260005656
116544910740079
1223503447a6108
13b4a13283b030
145060461d2d96
15254de1276cdb
hex128749522718

20372260005656 has 128 divisors (see below), whose sum is σ = 43932380620800. Its totient is φ = 8778109916160.

The previous prime is 20372260005653. The next prime is 20372260005661. The reversal of 20372260005656 is 65650006227302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20372260005653) 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, 168854105 + ... + 168974711.

It is an arithmetic number, because the mean of its divisors is an integer number (343221723600).

Almost surely, 220372260005656 is an apocalyptic number.

20372260005656 is a gapful number since it is divisible by the number (26) 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 20372260005656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21966190310400).

20372260005656 is an abundant number, since it is smaller than the sum of its proper divisors (23560120615144).

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

20372260005656 is a wasteful number, since it uses less digits than its factorization.

20372260005656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121889 (or 121885 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 44.

The spelling of 20372260005656 in words is "twenty trillion, three hundred seventy-two billion, two hundred sixty million, five thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 19 26 38 52 73 76 104 146 152 247 292 494 584 949 988 1171 1387 1898 1976 2342 2774 3796 4684 5548 7592 9368 11096 15223 18031 22249 30446 36062 44498 60892 72124 85483 88996 120607 121784 144248 170966 177992 241214 289237 341932 482428 578474 683864 964856 1111279 1156948 1567891 1624177 2222558 2291533 2313896 3135782 3248354 4445116 4583066 6271564 6496708 8804311 8890232 9166132 12543128 12993416 17608622 18332264 21114301 29789929 35217244 42228602 59579858 70434488 84457204 114456043 119159716 141230797 167281909 168914408 228912086 238319432 282461594 334563818 457824172 564923188 669127636 915648344 1129846376 1338255272 1836000361 2174664817 2683385143 3672000722 4349329634 5366770286 7344001444 8698659268 10309848181 10733540572 14688002888 17397318536 20619696362 21467081144 34884006859 41239392724 69768013718 82478785448 134028026353 139536027436 195887115439 268056052706 279072054872 391774230878 536112105412 783548461756 1072224210824 1567096923512 2546532500707 5093065001414 10186130002828 20372260005656