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2661117342640 = 245411213668851
BaseRepresentation
bin100110101110010110111…
…101000011001110110000
3100102101210211202121011021
4212232112331003032300
5322044432014431030
65354300032025224
7363154653124351
oct46562675031660
910371724677137
102661117342640
11936634401509
1236b8aa992214
13163c33292443
1492b27b5bd28
154934d70c97a
hex26b96f433b0

2661117342640 has 80 divisors (see below), whose sum is σ = 6343237194336. Its totient is φ = 1037627136000.

The previous prime is 2661117342619. The next prime is 2661117342659. The reversal of 2661117342640 is 462437111662.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×26611173426402 (a number of 26 digits) contains 22 as substring.

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, 3644215 + ... + 4313065.

Almost surely, 22661117342640 is an apocalyptic number.

2661117342640 is a gapful number since it is divisible by the number (20) 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 2661117342640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3171618597168).

2661117342640 is an abundant number, since it is smaller than the sum of its proper divisors (3682119851696).

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

2661117342640 is a wasteful number, since it uses less digits than its factorization.

2661117342640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670118 (or 670112 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 2661117342640 in words is "two trillion, six hundred sixty-one billion, one hundred seventeen million, three hundred forty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1213 1640 2426 3280 4852 6065 9704 12130 19408 24260 48520 49733 97040 99466 198932 248665 397864 497330 668851 795728 994660 1337702 1989320 2675404 3344255 3978640 5350808 6688510 10701616 13377020 26754040 27422891 53508080 54845782 109691564 137114455 219383128 274228910 438766256 548457820 811316263 1096915640 1622632526 2193831280 3245265052 4056581315 6490530104 8113162630 12981060208 16226325260 32452650520 33263966783 64905301040 66527933566 133055867132 166319833915 266111734264 332639667830 532223468528 665279335660 1330558671320 2661117342640