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215151078656 = 2831328211
BaseRepresentation
bin1100100001100000000…
…0001110110100000000
3202120100020201020010202
43020120000032310000
512011112134004111
6242501122144332
721354433664663
oct3103000166400
9676306636122
10215151078656
11832771a1908
12358457b20a8
131739a254087
14a5b03d16da
1558e367cb3b
hex321800ed00

215151078656 has 72 divisors (see below), whose sum is σ = 443792364288. Its totient is φ = 104101670400.

The previous prime is 215151078647. The next prime is 215151078689. The reversal of 215151078656 is 656870151512.

It is a self number, because there is not a number n which added to its sum of digits gives 215151078656.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 7612391 + ... + 7640601.

Almost surely, 2215151078656 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 215151078656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221896182144).

215151078656 is an abundant number, since it is smaller than the sum of its proper divisors (228641285632).

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

215151078656 is an frugal number, since it uses more digits than its factorization.

215151078656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28320 (or 28244 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 47.

The spelling of 215151078656 in words is "two hundred fifteen billion, one hundred fifty-one million, seventy-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 961 992 1922 1984 3844 3968 7688 7936 15376 28211 29791 30752 56422 59582 61504 112844 119164 123008 225688 238328 246016 451376 476656 874541 902752 953312 1749082 1805504 1906624 3498164 3611008 3813248 6996328 7222016 7626496 13992656 27110771 27985312 54221542 55970624 108443084 111941248 216886168 223882496 433772336 840433901 867544672 1680867802 1735089344 3361735604 3470178688 6723471208 6940357376 13446942416 26893884832 53787769664 107575539328 215151078656