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107888189472 = 2532789976199
BaseRepresentation
bin110010001111010100…
…0110010000000100000
3101022110220122212221100
41210132220302000200
53231423334030342
6121321350154400
710536366323310
oct1443650620040
9338426585840
10107888189472
1141834085658
1218aab652a00
13a234b3538b
145316941440
152c169eae4c
hex191ea32020

107888189472 has 288 divisors, whose sum is σ = 358289568000. Its totient is φ = 30159765504.

The previous prime is 107888189467. The next prime is 107888189477. The reversal of 107888189472 is 274981888701.

107888189472 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 8 + 81 + 89 + 472 = 666.

It is an interprime number because it is at equal distance from previous prime (107888189467) and next prime (107888189477).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1078881894722 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (107888189477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17401029 + ... + 17407227.

It is an arithmetic number, because the mean of its divisors is an integer number (1244061000).

Almost surely, 2107888189472 is an apocalyptic number.

107888189472 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 107888189472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179144784000).

107888189472 is an abundant number, since it is smaller than the sum of its proper divisors (250401378528).

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

107888189472 is a wasteful number, since it uses less digits than its factorization.

107888189472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6408 (or 6397 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 63.

The spelling of 107888189472 in words is "one hundred seven billion, eight hundred eighty-eight million, one hundred eighty-nine thousand, four hundred seventy-two".