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104028503712 = 2537226598317
BaseRepresentation
bin110000011100010010…
…1001111111010100000
3100221111220222112102220
41200320211033322200
53201022244104322
6115442351511040
710341631456200
oct1407045177240
9327456875386
10104028503712
1140133418611
12181b2b28480
139a6b301053
14506c0b4400
152a8cc4055c
hex183894fea0

104028503712 has 144 divisors (see below), whose sum is σ = 317816140320. Its totient is φ = 29707679232.

The previous prime is 104028503701. The next prime is 104028503731. The reversal of 104028503712 is 217305820401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12503778 + ... + 12512094.

It is an arithmetic number, because the mean of its divisors is an integer number (2207056530).

Almost surely, 2104028503712 is an apocalyptic number.

104028503712 is a gapful number since it is divisible by the number (12) 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 104028503712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158908070160).

104028503712 is an abundant number, since it is smaller than the sum of its proper divisors (213787636608).

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

104028503712 is a wasteful number, since it uses less digits than its factorization.

104028503712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11003 (or 10988 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 104028503712 in words is "one hundred four billion, twenty-eight million, five hundred three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 2659 4704 5318 7977 8317 10636 15954 16634 18613 21272 24951 31908 33268 37226 42544 49902 55839 58219 63816 66536 74452 85088 99804 111678 116438 127632 130291 133072 148904 174657 199608 223356 232876 255264 260582 266144 297808 349314 390873 399216 407533 446712 465752 521164 595616 698628 781746 798432 815066 893424 931504 1042328 1222599 1397256 1563492 1630132 1786848 1863008 2084656 2445198 2794512 3126984 3260264 4169312 4890396 5589024 6253968 6520528 9780792 12507936 13041056 19561584 22114903 39123168 44229806 66344709 88459612 132689418 154804321 176919224 265378836 309608642 353838448 464412963 530757672 619217284 707676896 928825926 1061515344 1083630247 1238434568 1857651852 2123030688 2167260494 2476869136 3250890741 3715303704 4334520988 4953738272 6501781482 7430607408 8669041976 13003562964 14861214816 17338083952 26007125928 34676167904 52014251856 104028503712