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4642640464 = 247113768377
BaseRepresentation
bin1000101001011100…
…10001001001010000
3102222112221120102211
410110232101021100
534002003443324
62044403521504
7223022535640
oct42456211120
912875846384
104642640464
111a72716550
12a96989294
1358cac9947
1432083a520
151c28b7294
hex114b91250

4642640464 has 40 divisors (see below), whose sum is σ = 11214692928. Its totient is φ = 1808820480.

The previous prime is 4642640461. The next prime is 4642640503. The reversal of 4642640464 is 4640462464.

It is a happy number.

It is a super-2 number, since 2×46426404642 = 43108220955940270592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4642640461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1882957 + ... + 1885420.

Almost surely, 24642640464 is an apocalyptic number.

4642640464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4642640464 is an abundant number, since it is smaller than the sum of its proper divisors (6572052464).

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

4642640464 is a wasteful number, since it uses less digits than its factorization.

4642640464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3768403 (or 3768397 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 40.

The square root of 4642640464 is about 68136.9243802507. The cubic root of 4642640464 is about 1668.2265064755.

The spelling of 4642640464 in words is "four billion, six hundred forty-two million, six hundred forty thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 3768377 7536754 15073508 26378639 30147016 41452147 52757278 60294032 82904294 105514556 165808588 211029112 290165029 331617176 422058224 580330058 663234352 1160660116 2321320232 4642640464