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105786400748 = 2274780384803
BaseRepresentation
bin110001010000101011…
…1000101111111101100
3101010001102202221211112
41202201113011333230
53213122304310443
6120333025411152
710433325366350
oct1424127057754
9333042687745
10105786400748
1140955735686
1218603799ab8
139c8b56c302
14519774b460
152b4222db18
hex18a15c5fec

105786400748 has 24 divisors (see below), whose sum is σ = 216074353152. Its totient is φ = 44372410704.

The previous prime is 105786400729. The next prime is 105786400799. The reversal of 105786400748 is 847004687501.

It is a happy number.

It is a super-2 number, since 2×1057864007482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105786400696 and 105786400705.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40191086 + ... + 40193717.

It is an arithmetic number, because the mean of its divisors is an integer number (9003098048).

Almost surely, 2105786400748 is an apocalyptic number.

It is an amenable number.

105786400748 is an abundant number, since it is smaller than the sum of its proper divisors (110287952404).

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

105786400748 is a wasteful number, since it uses less digits than its factorization.

105786400748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80384861 (or 80384859 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 50.

The spelling of 105786400748 in words is "one hundred five billion, seven hundred eighty-six million, four hundred thousand, seven hundred forty-eight".

Divisors: 1 2 4 7 14 28 47 94 188 329 658 1316 80384803 160769606 321539212 562693621 1125387242 2250774484 3778085741 7556171482 15112342964 26446600187 52893200374 105786400748