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2045726496 = 253311215249
BaseRepresentation
bin111100111101111…
…0100111100100000
312021120101200012000
41321323310330200
513142201221441
6534555004000
7101460250122
oct17173647440
95246350160
102045726496
1195a839660
12491139600
13267a97568
1415599d212
15be8e62b6
hex79ef4f20

2045726496 has 96 divisors (see below), whose sum is σ = 6509160000. Its totient is φ = 619914240.

The previous prime is 2045726483. The next prime is 2045726509. The reversal of 2045726496 is 6946275402.

It is an interprime number because it is at equal distance from previous prime (2045726483) and next prime (2045726509).

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

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, 98121 + ... + 117128.

It is an arithmetic number, because the mean of its divisors is an integer number (67803750).

Almost surely, 22045726496 is an apocalyptic number.

It is an amenable number.

2045726496 is an abundant number, since it is smaller than the sum of its proper divisors (4463433504).

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

2045726496 is a wasteful number, since it uses less digits than its factorization.

2045726496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215279 (or 215265 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2045726496 is about 45229.7081131417. The cubic root of 2045726496 is about 1269.4507505702.

The spelling of 2045726496 in words is "two billion, forty-five million, seven hundred twenty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 215249 430498 645747 860996 1291494 1721992 1937241 2367739 2582988 3443984 3874482 4735478 5165976 5811723 6887968 7103217 7748964 9470956 10331952 11623446 14206434 15497928 18941912 20663904 21309651 23246892 28412868 30995856 37883824 42619302 46493784 56825736 61991712 63928953 75767648 85238604 92987568 113651472 127857906 170477208 185975136 227302944 255715812 340954416 511431624 681908832 1022863248 2045726496