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107207785476 = 2232116412
BaseRepresentation
bin110001111011000010…
…1001111110000000100
3101020201111100210010100
41203312011033300010
53224030143113401
6121130042524100
710513465066221
oct1436605176004
9336644323110
10107207785476
1141515000000
121893b806630
13a156b9756c
145290428948
152bc6de9b86
hex18f614fc04

107207785476 has 189 divisors, whose sum is σ = 305545184581. Its totient is φ = 31694836800.

The previous prime is 107207785471. The next prime is 107207785501. The reversal of 107207785476 is 674587702701.

The square root of 107207785476 is 327426.

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

107207785476 is a `hidden beast` number, since 1 + 0 + 7 + 20 + 7 + 78 + 547 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5165871876 + 102041913600 = 71874^2 + 319440^2 .

It is a super-2 number, since 2×1072077854762 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107207785471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2614824016 + ... + 2614824056.

Almost surely, 2107207785476 is an apocalyptic number.

107207785476 is the 327426-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107207785476

107207785476 is an abundant number, since it is smaller than the sum of its proper divisors (198337399105).

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

107207785476 is an frugal number, since it uses more digits than its factorization.

107207785476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 4609920, while the sum is 54.

The spelling of 107207785476 in words is "one hundred seven billion, two hundred seven million, seven hundred eighty-five thousand, four hundred seventy-six".