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2638466136 = 23349414327
BaseRepresentation
bin1001110101000011…
…1100110001011000
320210212201222010000
42131100330301120
520400421404021
61113451253000
7122245410045
oct23520746130
96725658100
102638466136
111134388729
1261774a160
13330820587
141b05b61cc
1510697cb26
hex9d43cc58

2638466136 has 80 divisors (see below), whose sum is σ = 7399711440. Its totient is φ = 878351040.

The previous prime is 2638466101. The next prime is 2638466161. The reversal of 2638466136 is 6316648362.

2638466136 is a `hidden beast` number, since 2 + 638 + 4 + 6 + 6 + 1 + 3 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2638466091 and 2638466100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 607605 + ... + 611931.

It is an arithmetic number, because the mean of its divisors is an integer number (92496393).

Almost surely, 22638466136 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 2638466136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3699855720).

2638466136 is an abundant number, since it is smaller than the sum of its proper divisors (4761245304).

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

2638466136 is a wasteful number, since it uses less digits than its factorization.

2638466136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5286 (or 5273 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 2638466136 is about 51366.0017521317. The cubic root of 2638466136 is about 1381.8169262318.

The spelling of 2638466136 in words is "two billion, six hundred thirty-eight million, four hundred sixty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 941 1882 2823 3764 4327 5646 7528 8469 8654 11292 12981 16938 17308 22584 25407 25962 33876 34616 38943 50814 51924 67752 76221 77886 101628 103848 116829 152442 155772 203256 233658 304884 311544 350487 467316 609768 700974 934632 1401948 2803896 4071707 8143414 12215121 16286828 24430242 32573656 36645363 48860484 73290726 97720968 109936089 146581452 219872178 293162904 329808267 439744356 659616534 879488712 1319233068 2638466136