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3107499893496 = 233437221358567
BaseRepresentation
bin101101001110000101011…
…011010110001011111000
3102000002000000021200110000
4231032011123112023320
5401403124433042441
610335322111153000
7440336513163225
oct55160533261370
912002000250400
103107499893496
11a9897974a869
12422307515760
1319706109103b
14aa59203c94c
1555c770de2b6
hex2d3856d62f8

3107499893496 has 160 divisors (see below), whose sum is σ = 8943309001440. Its totient is φ = 1007365185792.

The previous prime is 3107499893479. The next prime is 3107499893497. The reversal of 3107499893496 is 6943989947013.

3107499893496 is a `hidden beast` number, since 3 + 1 + 0 + 7 + 49 + 9 + 8 + 93 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3107499893497) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53029605 + ... + 53088171.

It is an arithmetic number, because the mean of its divisors is an integer number (55895681259).

Almost surely, 23107499893496 is an apocalyptic number.

3107499893496 is a gapful number since it is divisible by the number (36) 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 3107499893496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4471654500720).

3107499893496 is an abundant number, since it is smaller than the sum of its proper divisors (5835809107944).

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

3107499893496 is a wasteful number, since it uses less digits than its factorization.

3107499893496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60835 (or 60822 counting only the distinct ones).

The product of its (nonzero) digits is 317447424, while the sum is 72.

The spelling of 3107499893496 in words is "three trillion, one hundred seven billion, four hundred ninety-nine million, eight hundred ninety-three thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 296 324 333 444 648 666 888 999 1332 1998 2213 2664 2997 3996 4426 5994 6639 7992 8852 11988 13278 17704 19917 23976 26556 39834 53112 58567 59751 79668 81881 117134 119502 159336 163762 175701 179253 234268 239004 245643 327524 351402 358506 468536 478008 491286 527103 655048 702804 717012 736929 982572 1054206 1405608 1434024 1473858 1581309 1965144 2108412 2166979 2210787 2947716 3162618 4216824 4333958 4421574 4743927 5895432 6325236 6500937 6632361 8667916 8843148 9487854 12650472 13001874 13264722 17335832 17686296 18975708 19502811 26003748 26529444 37951416 39005622 52007496 53058888 58508433 78011244 117016866 129608771 156022488 175525299 234033732 259217542 351050598 388826313 468067464 518435084 702101196 777652626 1036870168 1166478939 1404202392 1555305252 2332957878 3110610504 3499436817 4665915756 4795524527 6998873634 9331831512 9591049054 10498310451 13997747268 14386573581 19182098108 20996620902 27995494536 28773147162 38364196216 41993241804 43159720743 57546294324 83986483608 86319441486 115092588648 129479162229 172638882972 258958324458 345277765944 388437486687 517916648916 776874973374 1035833297832 1553749946748 3107499893496