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21978036216 = 23322313271761
BaseRepresentation
bin10100011101111111…
…100011011111111000
32002201200112220211100
4110131333203133320
5330002334124331
614032505331400
71405431140223
oct243577433770
962650486740
1021978036216
1193590349a4
124314496b60
1320c3431a76
1410c6ca45ba
15889740ae6
hex51dfe37f8

21978036216 has 48 divisors (see below), whose sum is σ = 62111846160. Its totient is φ = 7007489280.

The previous prime is 21978036209. The next prime is 21978036217. The reversal of 21978036216 is 61263087912.

21978036216 is a `hidden beast` number, since 2 + 19 + 7 + 8 + 0 + 3 + 621 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21978036217) 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 11 ways as a sum of consecutive naturals, for example, 6634225 + ... + 6637536.

It is an arithmetic number, because the mean of its divisors is an integer number (1293996795).

Almost surely, 221978036216 is an apocalyptic number.

It is an amenable number.

21978036216 is an abundant number, since it is smaller than the sum of its proper divisors (40133809944).

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

21978036216 is a wasteful number, since it uses less digits than its factorization.

21978036216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13271796 (or 13271789 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 21978036216 in words is "twenty-one billion, nine hundred seventy-eight million, thirty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 13271761 26543522 39815283 53087044 79630566 106174088 119445849 159261132 238891698 305250503 318522264 477783396 610501006 915751509 955566792 1221002012 1831503018 2442004024 2747254527 3663006036 5494509054 7326012072 10989018108 21978036216