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3116126064 = 243435925589
BaseRepresentation
bin1011100110111100…
…0100111101110000
322001011112121100110
42321233010331300
522340212013224
61233113221320
7140135430432
oct27157047560
98034477313
103116126064
111359a766a7
1272b701840
133a878309c
14217bd4652
15133881929
hexb9bc4f70

3116126064 has 80 divisors (see below), whose sum is σ = 8377142400. Its totient is φ = 997317888.

The previous prime is 3116126063. The next prime is 3116126077. The reversal of 3116126064 is 4606216113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3116126063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108982 + ... + 134570.

It is an arithmetic number, because the mean of its divisors is an integer number (104714280).

Almost surely, 23116126064 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 3116126064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4188571200).

3116126064 is an abundant number, since it is smaller than the sum of its proper divisors (5261016336).

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

3116126064 is a wasteful number, since it uses less digits than its factorization.

3116126064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25702 (or 25696 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 3116126064 is about 55822.2721142735. The cubic root of 3116126064 is about 1460.6236879958.

The spelling of 3116126064 in words is "three billion, one hundred sixteen million, one hundred twenty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 59 86 118 129 172 177 236 258 344 354 472 516 688 708 944 1032 1416 2064 2537 2832 5074 7611 10148 15222 20296 25589 30444 40592 51178 60888 76767 102356 121776 153534 204712 307068 409424 614136 1100327 1228272 1509751 2200654 3019502 3300981 4401308 4529253 6039004 6601962 8802616 9058506 12078008 13203924 17605232 18117012 24156016 26407848 36234024 52815696 64919293 72468048 129838586 194757879 259677172 389515758 519354344 779031516 1038708688 1558063032 3116126064