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2672005632 = 2931739587
BaseRepresentation
bin1001111101000011…
…1001001000000000
320220012211221122120
42133100321020000
520433013140012
61121050204240
7123133446612
oct23720711000
96805757576
102672005632
11115130641a
12626a23680
1333776462a
141b4c26db2
151098a558c
hex9f439200

2672005632 has 40 divisors (see below), whose sum is σ = 7118394096. Its totient is φ = 890668032.

The previous prime is 2672005621. The next prime is 2672005639. The reversal of 2672005632 is 2365002762.

It is a happy number.

It is a super-2 number, since 2×26720056322 = 14279228194879438848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2672005593 and 2672005602.

It is not an unprimeable number, because it can be changed into a prime (2672005639) 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, 868258 + ... + 871329.

Almost surely, 22672005632 is an apocalyptic number.

It is an amenable number.

2672005632 is an abundant number, since it is smaller than the sum of its proper divisors (4446388464).

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

2672005632 is an equidigital number, since it uses as much as digits as its factorization.

2672005632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739608 (or 1739592 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 2672005632 is about 51691.4464104072. The cubic root of 2672005632 is about 1387.6473897156.

The spelling of 2672005632 in words is "two billion, six hundred seventy-two million, five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 1739587 3479174 5218761 6958348 10437522 13916696 20875044 27833392 41750088 55666784 83500176 111333568 167000352 222667136 334000704 445334272 668001408 890668544 1336002816 2672005632