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104681332208268 = 22341397513095063
BaseRepresentation
bin10111110011010100000101…
…100111101111001010001100
3111201122102211000202112220000
4113303110011213233022030
5102210044332021131033
61010345535022324300
731022655666312204
oct2763240547571214
9451572730675800
10104681332208268
113039a115aa4192
12b8a7b3a429690
13465453aa07aaa
141bbc864077404
15c18005a19a13
hex5f35059ef28c

104681332208268 has 120 divisors (see below), whose sum is σ = 275993542218240. Its totient is φ = 34596603036000.

The previous prime is 104681332208251. The next prime is 104681332208329. The reversal of 104681332208268 is 862802233186401.

104681332208268 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 81 + 332 + 208 + 26 + 8 = 666.

104681332208268 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32274505 + ... + 35369567.

It is an arithmetic number, because the mean of its divisors is an integer number (2299946185152).

Almost surely, 2104681332208268 is an apocalyptic number.

104681332208268 is a gapful number since it is divisible by the number (18) 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 104681332208268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137996771109120).

104681332208268 is an abundant number, since it is smaller than the sum of its proper divisors (171312210009972).

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

104681332208268 is a wasteful number, since it uses less digits than its factorization.

104681332208268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095969 (or 3095958 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 104681332208268 in words is "one hundred four trillion, six hundred eighty-one billion, three hundred thirty-two million, two hundred eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 139 162 278 324 417 556 751 834 1251 1502 1668 2253 2502 3004 3753 4506 5004 6759 7506 9012 11259 13518 15012 20277 22518 27036 40554 45036 60831 81108 104389 121662 208778 243324 313167 417556 626334 939501 1252668 1879002 2818503 3095063 3758004 5637006 6190126 8455509 9285189 11274012 12380252 16911018 18570378 27855567 33822036 37140756 55711134 83566701 111422268 167133402 250700103 334266804 430213757 501400206 860427514 1002800412 1290641271 1720855028 2324392313 2581282542 3871923813 4648784626 5162565084 6973176939 7743847626 9297569252 11615771439 13946353878 15487695252 20919530817 23231542878 27892707756 34847314317 41839061634 46463085756 62758592451 69694628634 83678123268 125517184902 139389257268 188275777353 251034369804 323090531507 376551554706 646181063014 753103109412 969271594521 1292362126028 1938543189042 2907814783563 3877086378084 5815629567126 8723444350689 11631259134252 17446888701378 26170333052067 34893777402756 52340666104134 104681332208268