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20280325632 = 293714912659
BaseRepresentation
bin10010111000110011…
…010011011000000000
31221100101000021201120
4102320303103120000
5313013230410012
613152221432240
71315364631540
oct227063233000
957311007646
1020280325632
1186677958a6
123b1ba0b680
131bb27a75a8
14da5617320
157da69058c
hex4b8cd3600

20280325632 has 160 divisors (see below), whose sum is σ = 62165664000. Its totient is φ = 5755035648.

The previous prime is 20280325613. The next prime is 20280325651. The reversal of 20280325632 is 23652308202.

It is an interprime number because it is at equal distance from previous prime (20280325613) and next prime (20280325651).

It is a super-2 number, since 2×202803256322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20280325593 and 20280325602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1595719 + ... + 1608377.

It is an arithmetic number, because the mean of its divisors is an integer number (388535400).

Almost surely, 220280325632 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 20280325632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31082832000).

20280325632 is an abundant number, since it is smaller than the sum of its proper divisors (41885338368).

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

20280325632 is a wasteful number, since it uses less digits than its factorization.

20280325632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12836 (or 12820 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 20280325632 in words is "twenty billion, two hundred eighty million, three hundred twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 149 168 192 224 256 298 336 384 447 448 512 596 672 768 894 896 1043 1192 1344 1536 1788 1792 2086 2384 2688 3129 3576 3584 4172 4768 5376 6258 7152 8344 9536 10752 12516 12659 14304 16688 19072 25032 25318 28608 33376 37977 38144 50064 50636 57216 66752 75954 76288 88613 100128 101272 114432 133504 151908 177226 200256 202544 228864 265839 267008 303816 354452 400512 405088 531678 534016 607632 708904 801024 810176 1063356 1215264 1417808 1602048 1620352 1886191 2126712 2430528 2835616 3240704 3772382 4253424 4861056 5658573 5671232 6481408 7544764 8506848 9722112 11317146 11342464 13203337 15089528 17013696 19444224 22634292 22684928 26406674 30179056 34027392 39610011 45268584 45369856 52813348 60358112 68054784 79220022 90537168 105626696 120716224 136109568 158440044 181074336 211253392 241432448 316880088 362148672 422506784 482864896 633760176 724297344 845013568 965729792 1267520352 1448594688 1690027136 2535040704 2897189376 3380054272 5070081408 6760108544 10140162816 20280325632