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215161028640 = 25325149417381
BaseRepresentation
bin1100100001100010011…
…0001100000000100000
3202120100221102201221200
43020120212030000200
512011122210404030
6242502115321200
721354614365455
oct3103046140040
9676327381850
10215161028640
1183281878438
1235848bb0200
131739c328c3c
14a5b186182c
1558e4495d60
hex321898c020

215161028640 has 72 divisors (see below), whose sum is σ = 734237015148. Its totient is φ = 57376273920.

The previous prime is 215161028639. The next prime is 215161028653. The reversal of 215161028640 is 46820161512.

It is a happy number.

215161028640 is a `hidden beast` number, since 2 + 1 + 5 + 1 + 6 + 1 + 0 + 2 + 8 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 214854498576 + 306530064 = 463524^2 + 17508^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 215161028595 and 215161028604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74707251 + ... + 74710130.

Almost surely, 2215161028640 is an apocalyptic number.

215161028640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215161028640 is an abundant number, since it is smaller than the sum of its proper divisors (519075986508).

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

215161028640 is a wasteful number, since it uses less digits than its factorization.

215161028640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149417402 (or 149417391 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 215161028640 in words is "two hundred fifteen billion, one hundred sixty-one million, twenty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 149417381 298834762 448252143 597669524 747086905 896504286 1195339048 1344756429 1494173810 1793008572 2241260715 2390678096 2689512858 2988347620 3586017144 4482521430 4781356192 5379025716 5976695240 6723782145 7172034288 8965042860 10758051432 11953390480 13447564290 14344068576 17930085720 21516102864 23906780960 26895128580 35860171440 43032205728 53790257160 71720342880 107580514320 215161028640