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6105377952 = 253221199229
BaseRepresentation
bin1011010111110100…
…01010110010100000
3120202111100100001100
411223322022302200
5100000434043302
62445455234400
7304203566502
oct55372126240
916674310040
106105377952
112653365903
121224818a00
13763b7339b
1441cbddd72
1525b000d1c
hex16be8aca0

6105377952 has 36 divisors (see below), whose sum is σ = 17362169370. Its totient is φ = 2035125888.

The previous prime is 6105377923. The next prime is 6105378001. The reversal of 6105377952 is 2597735016.

6105377952 is a `hidden beast` number, since 61 + 0 + 537 + 7 + 9 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4303884816 + 1801493136 = 65604^2 + 42444^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 6105377898 and 6105377907.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10599327 + ... + 10599902.

Almost surely, 26105377952 is an apocalyptic number.

It is an amenable number.

6105377952 is an abundant number, since it is smaller than the sum of its proper divisors (11256791418).

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

6105377952 is a wasteful number, since it uses less digits than its factorization.

6105377952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21199245 (or 21199234 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 6105377952 is about 78136.9179837546. The cubic root of 6105377952 is about 1827.6969397694.

The spelling of 6105377952 in words is "six billion, one hundred five million, three hundred seventy-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 21199229 42398458 63597687 84796916 127195374 169593832 190793061 254390748 339187664 381586122 508781496 678375328 763172244 1017562992 1526344488 2035125984 3052688976 6105377952