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2461381464 = 233102557561
BaseRepresentation
bin1001001010110101…
…1011001101011000
320100112112010121110
42102231123031120
520020103201324
61044123540320
7114665253153
oct22255331530
96315463543
102461381464
111053427363
1258838a6a0
13302c2a649
14194c7ac9a
15e614d329
hex92b5b358

2461381464 has 16 divisors (see below), whose sum is σ = 6153453720. Its totient is φ = 820460480.

The previous prime is 2461381457. The next prime is 2461381469. The reversal of 2461381464 is 4641831642.

2461381464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24613814642 = 12116797422645566592, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2461381469) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51278757 + ... + 51278804.

Almost surely, 22461381464 is an apocalyptic number.

2461381464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2461381464 is an abundant number, since it is smaller than the sum of its proper divisors (3692072256).

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

2461381464 is a wasteful number, since it uses less digits than its factorization.

2461381464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102557570 (or 102557566 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 2461381464 is about 49612.3116171783. The cubic root of 2461381464 is about 1350.1840561122.

The spelling of 2461381464 in words is "two billion, four hundred sixty-one million, three hundred eighty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 102557561 205115122 307672683 410230244 615345366 820460488 1230690732 2461381464