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2432266464 = 253971491753
BaseRepresentation
bin1001000011111001…
…0111000011100000
320021111201221100010
42100332113003200
514440130011324
61041203524520
7114162631605
oct22076270340
96244657303
102432266464
111038a50881
1257a689740
132c9ba5434
1419105c6ac
15e37eb829
hex90f970e0

2432266464 has 96 divisors (see below), whose sum is σ = 6497517600. Its totient is φ = 796557312.

The previous prime is 2432266429. The next prime is 2432266471. The reversal of 2432266464 is 4646622342.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1386612 + ... + 1388364.

It is an arithmetic number, because the mean of its divisors is an integer number (67682475).

Almost surely, 22432266464 is an apocalyptic number.

2432266464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2432266464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3248758800).

2432266464 is an abundant number, since it is smaller than the sum of its proper divisors (4065251136).

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

2432266464 is a wasteful number, since it uses less digits than its factorization.

2432266464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012 (or 2004 counting only the distinct ones).

The product of its digits is 331776, while the sum is 39.

The square root of 2432266464 is about 49318.0135853017. The cubic root of 2432266464 is about 1344.8392752579.

The spelling of 2432266464 in words is "two billion, four hundred thirty-two million, two hundred sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 149 194 291 298 388 447 582 596 776 894 1164 1192 1552 1753 1788 2328 2384 3104 3506 3576 4656 4768 5259 7012 7152 9312 10518 14024 14304 14453 21036 28048 28906 42072 43359 56096 57812 84144 86718 115624 168288 170041 173436 231248 261197 340082 346872 462496 510123 522394 680164 693744 783591 1020246 1044788 1360328 1387488 1567182 2040492 2089576 2720656 3134364 4080984 4179152 5441312 6268728 8161968 8358304 12537456 16323936 25074912 25336109 50672218 76008327 101344436 152016654 202688872 304033308 405377744 608066616 810755488 1216133232 2432266464