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213779681380 = 22566116170929
BaseRepresentation
bin1100011100011001000…
…0110001000001100100
3202102210200012000202001
43013012100301001210
512000310044301010
6242113052255044
721305442211126
oct3070620610144
9672720160661
10213779681380
1182733069831
1235522471484
131720c0ab5b5
14a4c0207216
155863087c3a
hex31c6431064

213779681380 has 24 divisors (see below), whose sum is σ = 449616537720. Its totient is φ = 85382499840.

The previous prime is 213779681369. The next prime is 213779681387. The reversal of 213779681380 is 83186977312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3252877156 + 210526804224 = 57034^2 + 458832^2 .

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (213779681387) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8072245 + ... + 8098684.

It is an arithmetic number, because the mean of its divisors is an integer number (18734022405).

Almost surely, 2213779681380 is an apocalyptic number.

213779681380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213779681380 is an abundant number, since it is smaller than the sum of its proper divisors (235836856340).

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

213779681380 is a wasteful number, since it uses less digits than its factorization.

213779681380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16171599 (or 16171597 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 55.

The spelling of 213779681380 in words is "two hundred thirteen billion, seven hundred seventy-nine million, six hundred eighty-one thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 661 1322 2644 3305 6610 13220 16170929 32341858 64683716 80854645 161709290 323418580 10688984069 21377968138 42755936276 53444920345 106889840690 213779681380