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13020550632 = 2333833492081
BaseRepresentation
bin11000010000001010…
…11101010111101000
31020121102110111122000
430020011131113220
5203131230110012
65552003331000
7640442566005
oct141005352750
936542414560
1013020550632
115581841451
122634680a60
1312c671893b
148b73988ac
15513160ddc
hex30815d5e8

13020550632 has 128 divisors (see below), whose sum is σ = 36726480000. Its totient is φ = 4273551360.

The previous prime is 13020550573. The next prime is 13020550661. The reversal of 13020550632 is 23605502031.

13020550632 is a `hidden beast` number, since 1 + 3 + 0 + 20 + 5 + 5 + 0 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13020550596 and 13020550605.

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, 6255832 + ... + 6257912.

It is an arithmetic number, because the mean of its divisors is an integer number (286925625).

Almost surely, 213020550632 is an apocalyptic number.

13020550632 is a gapful number since it is divisible by the number (12) 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 13020550632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18363240000).

13020550632 is an abundant number, since it is smaller than the sum of its proper divisors (23705929368).

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

13020550632 is a wasteful number, since it uses less digits than its factorization.

13020550632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 13020550632 in words is "thirteen billion, twenty million, five hundred fifty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 83 108 166 216 249 332 349 498 664 698 747 996 1047 1396 1494 1992 2081 2094 2241 2792 2988 3141 4162 4188 4482 5976 6243 6282 8324 8376 8964 9423 12486 12564 16648 17928 18729 18846 24972 25128 28967 37458 37692 49944 56187 57934 74916 75384 86901 112374 115868 149832 172723 173802 224748 231736 260703 345446 347604 449496 518169 521406 690892 695208 726269 782109 1036338 1042812 1381784 1452538 1554507 1564218 2072676 2085624 2178807 2905076 3109014 3128436 4145352 4357614 4663521 5810152 6218028 6256872 6536421 8715228 9327042 12436056 13072842 17430456 18654084 19609263 26145684 37308168 39218526 52291368 60280327 78437052 120560654 156874104 180840981 241121308 361681962 482242616 542522943 723363924 1085045886 1446727848 1627568829 2170091772 3255137658 4340183544 6510275316 13020550632