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107197411904 = 26112172393407
BaseRepresentation
bin110001111010101110…
…1101011001001000000
3101020200202211202020222
41203311131223021000
53224020014140104
6121125032322212
710513310652452
oct1436535531100
9336622752228
10107197411904
114150a165200
1218938243368
13a1549a495b
14528ccc82d2
152bc604b1be
hex18f576b240

107197411904 has 168 divisors, whose sum is σ = 248678760960. Its totient is φ = 45654568960.

The previous prime is 107197411879. The next prime is 107197411907. The reversal of 107197411904 is 409114791701.

It is a super-2 number, since 2×1071974119042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (107197411907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31462169 + ... + 31465575.

It is an arithmetic number, because the mean of its divisors is an integer number (1480230720).

Almost surely, 2107197411904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107197411904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124339380480).

107197411904 is an abundant number, since it is smaller than the sum of its proper divisors (141481349056).

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

107197411904 is a wasteful number, since it uses less digits than its factorization.

107197411904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3697 (or 3676 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 44.

The spelling of 107197411904 in words is "one hundred seven billion, one hundred ninety-seven million, four hundred eleven thousand, nine hundred four".