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6461266136 = 231326771329
BaseRepresentation
bin1100000010001111…
…10001100011011000
3121200022000022212012
412001013301203120
5101213041004021
62545051205052
7316054566413
oct60107614330
917608008765
106461266136
112816241976
121303a46788
137bc80b700
144541a0b7a
1527c39e35b
hex1811f18d8

6461266136 has 48 divisors (see below), whose sum is σ = 13314457800. Its totient is φ = 2937572352.

The previous prime is 6461266079. The next prime is 6461266151. The reversal of 6461266136 is 6316621646.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6461266093 and 6461266102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54920 + ... + 126248.

Almost surely, 26461266136 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 6461266136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6657228900).

6461266136 is an abundant number, since it is smaller than the sum of its proper divisors (6853191664).

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

6461266136 is a wasteful number, since it uses less digits than its factorization.

6461266136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71428 (or 71411 counting only the distinct ones).

The product of its digits is 186624, while the sum is 41.

The square root of 6461266136 is about 80382.0013187032. The cubic root of 6461266136 is about 1862.5411499459.

The spelling of 6461266136 in words is "six billion, four hundred sixty-one million, two hundred sixty-six thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 26 52 67 104 134 169 268 338 536 676 871 1352 1742 3484 6968 11323 22646 45292 71329 90584 142658 285316 570632 927277 1854554 3709108 4779043 7418216 9558086 12054601 19116172 24109202 38232344 48218404 62127559 96436808 124255118 248510236 497020472 807658267 1615316534 3230633068 6461266136