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13628368170 = 2325295221597
BaseRepresentation
bin11001011000101000…
…00110010100101010
31022011210011211112200
430230110012110222
5210402330240140
610132155121030
7661503134544
oct145424062452
938153154480
1013628368170
11586394979a
122784143176
1313926208a1
14933db8694
1554b6c5030
hex32c50652a

13628368170 has 48 divisors (see below), whose sum is σ = 36655617960. Its totient is φ = 3508912512.

The previous prime is 13628368157. The next prime is 13628368213. The reversal of 13628368170 is 7186382631.

13628368170 is a `hidden beast` number, since 1 + 3 + 628 + 3 + 6 + 8 + 17 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8268810489 + 5359557681 = 90933^2 + 73209^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2608189 + ... + 2613408.

Almost surely, 213628368170 is an apocalyptic number.

13628368170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13628368170 is an abundant number, since it is smaller than the sum of its proper divisors (23027249790).

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

13628368170 is a wasteful number, since it uses less digits than its factorization.

13628368170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5221639 (or 5221636 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13628368170 in words is "thirteen billion, six hundred twenty-eight million, three hundred sixty-eight thousand, one hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 5221597 10443194 15664791 26107985 31329582 46994373 52215970 78323955 93988746 151426313 156647910 234971865 302852626 454278939 469943730 757131565 908557878 1362836817 1514263130 2271394695 2725673634 4542789390 6814184085 13628368170