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107899180956 = 22327738370667
BaseRepresentation
bin110010001111101001…
…0101101011110011100
3101022111200100022102100
41210133102231132130
53231434142242311
6121322421525100
710536561622410
oct1443722553634
9338450308370
10107899180956
114183a302726
1218ab3273790
13a2371b3308
1453181a2d40
152c1796ca56
hex191f4ad79c

107899180956 has 144 divisors (see below), whose sum is σ = 319790225664. Its totient is φ = 30039268608.

The previous prime is 107899180937. The next prime is 107899180957. The reversal of 107899180956 is 659081998701.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 107899180893 and 107899180902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107899180957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1491535 + ... + 1562201.

It is an arithmetic number, because the mean of its divisors is an integer number (2220765456).

Almost surely, 2107899180956 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 107899180956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159895112832).

107899180956 is an abundant number, since it is smaller than the sum of its proper divisors (211891044708).

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

107899180956 is a wasteful number, since it uses less digits than its factorization.

107899180956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70840 (or 70835 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 63.

The spelling of 107899180956 in words is "one hundred seven billion, eight hundred ninety-nine million, one hundred eighty thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 73 83 84 126 146 166 219 249 252 292 332 438 498 511 581 657 747 876 996 1022 1162 1314 1494 1533 1743 2044 2324 2628 2988 3066 3486 4599 5229 6059 6132 6972 9198 10458 12118 18177 18396 20916 24236 36354 42413 54531 70667 72708 84826 109062 127239 141334 169652 212001 218124 254478 282668 381717 424002 494669 508956 636003 763434 848004 989338 1272006 1484007 1526868 1978676 2544012 2968014 4452021 5158691 5865361 5936028 8904042 10317382 11730722 15476073 17596083 17808084 20634764 23461444 30952146 35192166 36110837 41057527 46428219 52788249 61904292 70384332 72221674 82115054 92856438 105576498 108332511 123172581 144443348 164230108 185712876 211152996 216665022 246345162 324997533 369517743 428171353 433330044 492690324 649995066 739035486 856342706 1284514059 1299990132 1478070972 1712685412 2569028118 2997199471 3853542177 5138056236 5994398942 7707084354 8991598413 11988797884 15414168708 17983196826 26974795239 35966393652 53949590478 107899180956