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48213331767288 = 23331069444147017
BaseRepresentation
bin10101111011001100010101…
…00000110110111111111000
320022201011000222200001022000
422331212022200312333320
522304411400413023123
6250312522052301000
713104204210133212
oct1275461240667770
9208634028601260
1048213331767288
11143a91829555a6
1254a8097311760
1320b9661520a8c
14bc97756875b2
1558921573eb43
hex2bd98a836ff8

48213331767288 has 128 divisors (see below), whose sum is σ = 134084239752000. Its totient is φ = 16052119971840.

The previous prime is 48213331767259. The next prime is 48213331767319. The reversal of 48213331767288 is 88276713331284.

It is a happy number.

48213331767288 is a `hidden beast` number, since 4 + 8 + 2 + 1 + 33 + 317 + 6 + 7 + 288 = 666.

48213331767288 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 1025421156 + ... + 1025468172.

Almost surely, 248213331767288 is an apocalyptic number.

It is an amenable number.

48213331767288 is an abundant number, since it is smaller than the sum of its proper divisors (85870907984712).

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

48213331767288 is a wasteful number, since it uses less digits than its factorization.

48213331767288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52542 (or 52532 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 48213331767288 in words is "forty-eight trillion, two hundred thirteen billion, three hundred thirty-one million, seven hundred sixty-seven thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1069 2138 3207 4276 4441 6414 8552 8882 9621 12828 13323 17764 19242 25656 26646 28863 35528 38484 39969 47017 53292 57726 76968 79938 94034 106584 115452 119907 141051 159876 188068 230904 239814 282102 319752 376136 423153 479628 564204 846306 959256 1128408 1269459 1692612 2538918 3385224 4747429 5077836 9494858 10155672 14242287 18989716 28484574 37979432 42726861 50261173 56969148 85453722 100522346 113938296 128180583 150783519 170907444 201044692 208802497 256361166 301567038 341814888 402089384 417604994 452350557 512722332 603134076 626407491 835209988 904701114 1025444664 1206268152 1252814982 1357051671 1670419976 1809402228 1879222473 2505629964 2714103342 3618804456 3758444946 5011259928 5428206684 5637667419 7516889892 10856413368 11275334838 15033779784 22550669676 45101339352 223209869293 446419738586 669629607879 892839477172 1339259215758 1785678954344 2008888823637 2678518431516 4017777647274 5357036863032 6026666470911 8035555294548 12053332941822 16071110589096 24106665883644 48213331767288