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21670357828212 = 22325385713252777
BaseRepresentation
bin1001110110101100001011…
…11110110000001001110100
32211201122222111101222112100
410323112011332300021310
510320021343101000322
6114031120331222100
74364426445215352
oct473260576601164
984648874358470
1021670357828212
1169a539005a195
12251ba3aba7930
13c1267681b792
1454cbcaca87d2
15278a681addac
hex13b585fb0274

21670357828212 has 72 divisors (see below), whose sum is σ = 55876521636936. Its totient is φ = 7078890783744.

The previous prime is 21670357828211. The next prime is 21670357828271. The reversal of 21670357828212 is 21282875307612.

21670357828212 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 0 + 357 + 8 + 282 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12173581552356 + 9496776275856 = 3489066^2 + 3081684^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21670357828211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4991233 + ... + 8261544.

It is an arithmetic number, because the mean of its divisors is an integer number (776062800513).

Almost surely, 221670357828212 is an apocalyptic number.

It is an amenable number.

21670357828212 is an abundant number, since it is smaller than the sum of its proper divisors (34206163808724).

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

21670357828212 is a wasteful number, since it uses less digits than its factorization.

21670357828212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13253697 (or 13253692 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 21670357828212 in words is "twenty-one trillion, six hundred seventy billion, three hundred fifty-seven million, eight hundred twenty-eight thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 857 954 1714 1908 2571 3428 5142 7713 10284 15426 30852 45421 90842 136263 181684 272526 408789 545052 817578 1635156 13252777 26505554 39758331 53011108 79516662 119274993 159033324 238549986 477099972 702397181 1404794362 2107191543 2809588724 4214383086 6321574629 8428766172 11357629889 12643149258 22715259778 25286298516 34072889667 45430519556 68145779334 102218669001 136291558668 204437338002 408874676004 601954384117 1203908768234 1805863152351 2407817536468 3611726304702 5417589457053 7223452609404 10835178914106 21670357828212