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104937101880 = 233513199338027
BaseRepresentation
bin110000110111010111…
…1010001101000111000
3101000212020200002210220
41201232233101220320
53204402344230010
6120112450140040
710403303435352
oct1415657215070
9330766602726
10104937101880
114055a292896
1218407281620
139b846181c0
145116a2c0d2
152ae28b9970
hex186ebd1a38

104937101880 has 128 divisors (see below), whose sum is σ = 340732224000. Its totient is φ = 25700792832.

The previous prime is 104937101851. The next prime is 104937101923. The reversal of 104937101880 is 88101739401.

It is a super-2 number, since 2×1049371018802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141427 + ... + 479453.

It is an arithmetic number, because the mean of its divisors is an integer number (2661970500).

Almost surely, 2104937101880 is an apocalyptic number.

104937101880 is a gapful number since it is divisible by the number (10) 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 104937101880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170366112000).

104937101880 is an abundant number, since it is smaller than the sum of its proper divisors (235795122120).

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

104937101880 is a wasteful number, since it uses less digits than its factorization.

104937101880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338253 (or 338249 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The spelling of 104937101880 in words is "one hundred four billion, nine hundred thirty-seven million, one hundred one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 199 260 312 390 398 520 597 780 796 995 1194 1560 1592 1990 2388 2587 2985 3980 4776 5174 5970 7761 7960 10348 11940 12935 15522 20696 23880 25870 31044 38805 51740 62088 77610 103480 155220 310440 338027 676054 1014081 1352108 1690135 2028162 2704216 3380270 4056324 4394351 5070405 6760540 8112648 8788702 10140810 13183053 13521080 17577404 20281620 21971755 26366106 35154808 40563240 43943510 52732212 65915265 67267373 87887020 105464424 131830530 134534746 175774040 201802119 263661060 269069492 336336865 403604238 527322120 538138984 672673730 807208476 874475849 1009010595 1345347460 1614416952 1748951698 2018021190 2623427547 2690694920 3497903396 4036042380 4372379245 5246855094 6995806792 8072084760 8744758490 10493710188 13117137735 17489516980 20987420376 26234275470 34979033960 52468550940 104937101880