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104371708672 = 2871131170801
BaseRepresentation
bin110000100110100001…
…0011110001100000000
3100222101211210011010201
41201031002132030000
53202223124134142
6115540411534544
710353266612560
oct1411502361400
9328354704121
10104371708672
114029a121580
1218289a5a454
139ac44483ca
1450a18d2da0
152aace35ab7
hex184d09e300

104371708672 has 144 divisors (see below), whose sum is σ = 268123613184. Its totient is φ = 39352320000.

The previous prime is 104371708619. The next prime is 104371708711. The reversal of 104371708672 is 276807173401.

It is a super-2 number, since 2×1043717086722 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525672 + ... + 696472.

It is an arithmetic number, because the mean of its divisors is an integer number (1861969536).

Almost surely, 2104371708672 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 104371708672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134061806592).

104371708672 is an abundant number, since it is smaller than the sum of its proper divisors (163751904512).

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

104371708672 is a wasteful number, since it uses less digits than its factorization.

104371708672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170866 (or 170852 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 46.

The spelling of 104371708672 in words is "one hundred four billion, three hundred seventy-one million, seven hundred eight thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 44 56 62 64 77 88 112 124 128 154 176 217 224 248 256 308 341 352 434 448 496 616 682 704 868 896 992 1232 1364 1408 1736 1792 1984 2387 2464 2728 2816 3472 3968 4774 4928 5456 6944 7936 9548 9856 10912 13888 19096 19712 21824 27776 38192 43648 55552 76384 87296 152768 170801 305536 341602 611072 683204 1195607 1366408 1878811 2391214 2732816 3757622 4782428 5294831 5465632 7515244 9564856 10589662 10931264 13151677 15030488 19129712 21179324 21862528 26303354 30060976 37063817 38259424 42358648 43725056 52606708 58243141 60121952 74127634 76518848 84717296 105213416 116486282 120243904 148255268 153037696 169434592 210426832 232972564 240487808 296510536 306075392 338869184 407701987 420853664 465945128 480975616 593021072 677738368 815403974 841707328 931890256 1186042144 1355476736 1630807948 1683414656 1863780512 2372084288 3261615896 3366829312 3727561024 4744168576 6523231792 7455122048 9488337152 13046463584 14910244096 26092927168 52185854336 104371708672