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103239276495744 = 273833539176159
BaseRepresentation
bin10111011110010101000100…
…011001110000001110000000
3111112112120121200112012110210
4113132111010121300032000
5102012433014240330434
61003323245135554120
730513535341100314
oct2736250431601600
9445476550465423
10103239276495744
112a993593159694
12b6b456898b940
13457b564198a2c
141b6cb44261b44
15be07556a7ee9
hex5de544670380

103239276495744 has 128 divisors (see below), whose sum is σ = 278319539635200. Its totient is φ = 33902159937536.

The previous prime is 103239276495721. The next prime is 103239276495757. The reversal of 103239276495744 is 447594672932301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1032392764957442 (a number of 29 digits) contains 22 as substring.

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, 6662737 + ... + 15838895.

It is an arithmetic number, because the mean of its divisors is an integer number (2174371403400).

Almost surely, 2103239276495744 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 103239276495744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139159769817600).

103239276495744 is an abundant number, since it is smaller than the sum of its proper divisors (175080263139456).

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

103239276495744 is an equidigital number, since it uses as much as digits as its factorization.

103239276495744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9176612 (or 9176600 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 66.

The spelling of 103239276495744 in words is "one hundred three trillion, two hundred thirty-nine billion, two hundred seventy-six million, four hundred ninety-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 332 353 384 498 664 706 996 1059 1328 1412 1992 2118 2656 2824 3984 4236 5312 5648 7968 8472 10624 11296 15936 16944 22592 29299 31872 33888 45184 58598 67776 87897 117196 135552 175794 234392 351588 468784 703176 937568 1406352 1875136 2812704 3750272 5625408 9176159 11250816 18352318 27528477 36704636 55056954 73409272 110113908 146818544 220227816 293637088 440455632 587274176 761621197 880911264 1174548352 1523242394 1761822528 2284863591 3046484788 3239184127 3523645056 4569727182 6092969576 6478368254 9139454364 9717552381 12185939152 12956736508 18278908728 19435104762 24371878304 25913473016 36557817456 38870209524 48743756608 51826946032 73115634912 77740419048 97487513216 103653892064 146231269824 155480838096 207307784128 268852282541 292462539648 310961676192 414615568256 537704565082 621923352384 806556847623 1075409130164 1243846704768 1613113695246 2150818260328 3226227390492 4301636520656 6452454780984 8603273041312 12904909561968 17206546082624 25809819123936 34413092165248 51619638247872 103239276495744