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103807656004 = 221323475993083
BaseRepresentation
bin110000010101101101…
…0110010000001000100
3100220221112102022100011
41200223122302001010
53200044224443004
6115404422200004
710333310342263
oct1405332620104
9326845368304
10103807656004
114002a796448
1218150b83004
139a34627830
14504aa265da
152a78669004
hex182b6b2044

103807656004 has 96 divisors (see below), whose sum is σ = 208902758400. Its totient is φ = 44763658368.

The previous prime is 103807655993. The next prime is 103807656013. The reversal of 103807656004 is 400656708301.

It is a happy number.

103807656004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33669447 + ... + 33672529.

It is an arithmetic number, because the mean of its divisors is an integer number (2176070400).

Almost surely, 2103807656004 is an apocalyptic number.

It is an amenable number.

103807656004 is an abundant number, since it is smaller than the sum of its proper divisors (105095102396).

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

103807656004 is a wasteful number, since it uses less digits than its factorization.

103807656004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3769 (or 3767 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 103807656004 in words is "one hundred three billion, eight hundred seven million, six hundred fifty-six thousand, four".

Divisors: 1 2 4 13 23 26 46 47 52 92 94 188 299 598 599 611 1081 1196 1198 1222 2162 2396 2444 3083 4324 6166 7787 12332 13777 14053 15574 27554 28106 28153 31148 40079 55108 56212 56306 70909 80158 112612 141818 144901 160316 179101 283636 289802 358202 365989 579604 647519 716404 731978 921817 1295038 1463956 1843634 1846717 1883713 2590076 3332723 3687268 3693434 3767426 6665446 7386868 7534852 8417747 13330892 16835494 24007321 33670988 42474491 43325399 48014642 84948982 86650798 86795699 96029284 169897964 173301596 173591398 347182796 552168383 1104336766 1128344087 1996301077 2208673532 2256688174 3992602154 4513376348 7985204308 25951914001 51903828002 103807656004