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102708196272 = 243211434613271
BaseRepresentation
bin101111110100111100…
…0101011001110110000
3100211002220120222010100
41133221320223032300
53140321244240042
6115103345032400
710264130156313
oct1375170531660
9324086528110
10102708196272
113a616110040
1217aa4925700
1398ba905a46
144d849c897a
152a11d8d24c
hex17e9e2b3b0

102708196272 has 240 divisors, whose sum is σ = 321657912576. Its totient is φ = 30324672000.

The previous prime is 102708196271. The next prime is 102708196301. The reversal of 102708196272 is 272691807201.

It is a happy number.

102708196272 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 0 + 8 + 19 + 627 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (102708196271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31397997 + ... + 31401267.

Almost surely, 2102708196272 is an apocalyptic number.

102708196272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102708196272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160828956288).

102708196272 is an abundant number, since it is smaller than the sum of its proper divisors (218949716304).

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

102708196272 is a wasteful number, since it uses less digits than its factorization.

102708196272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3800 (or 3791 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 102708196272 in words is "one hundred two billion, seven hundred eight million, one hundred ninety-six thousand, two hundred seventy-two".