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215474212864 = 21272532
BaseRepresentation
bin1100100010101101000…
…0111001000000000000
3202121011202202010221101
43020223100321000000
512012242344302424
6242553144104144
721365436406141
oct3105320710000
9677152663841
10215474212864
1183422637379
1235915a65054
131741c191a51
14a6012a7ac8
155911c0b344
hex322b439000

215474212864 has 39 divisors (see below), whose sum is σ = 430955237233. Its totient is φ = 107722252288.

The previous prime is 215474212843. The next prime is 215474212873. The reversal of 215474212864 is 468212474512.

It is a happy number.

The square root of 215474212864 is 464192.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 157196390400 + 58277822464 = 396480^2 + 241408^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 29704662 + ... + 29711914.

Almost surely, 2215474212864 is an apocalyptic number.

215474212864 is the 464192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215474212864

215474212864 is an abundant number, since it is smaller than the sum of its proper divisors (215481024369).

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

215474212864 is an frugal number, since it uses more digits than its factorization.

215474212864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14530 (or 7255 counting only the distinct ones).

The product of its digits is 860160, while the sum is 46.

The spelling of 215474212864 in words is "two hundred fifteen billion, four hundred seventy-four million, two hundred twelve thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 7253 14506 29012 58024 116048 232096 464192 928384 1856768 3713536 7427072 14854144 29708288 52606009 105212018 210424036 420848072 841696144 1683392288 3366784576 6733569152 13467138304 26934276608 53868553216 107737106432 215474212864