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104680304560 = 24513413896311
BaseRepresentation
bin110000101111101101…
…1101010111110110000
3101000012100110110010001
41201133123222332300
53203341124221220
6120031154115344
710364034623206
oct1413733527660
9330170413101
10104680304560
11404383371a7
121835527bb54
139b43365920
1450d08a3076
152aca09180a
hex185f6eafb0

104680304560 has 160 divisors (see below), whose sum is σ = 269229018240. Its totient is φ = 37605580800.

The previous prime is 104680304543. The next prime is 104680304563. The reversal of 104680304560 is 65403086401.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (104680304563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16583805 + ... + 16590115.

It is an arithmetic number, because the mean of its divisors is an integer number (1682681364).

Almost surely, 2104680304560 is an apocalyptic number.

104680304560 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 104680304560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134614509120).

104680304560 is an abundant number, since it is smaller than the sum of its proper divisors (164548713680).

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

104680304560 is a wasteful number, since it uses less digits than its factorization.

104680304560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6767 (or 6761 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 104680304560 in words is "one hundred four billion, six hundred eighty million, three hundred four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 41 52 65 80 82 104 130 164 205 208 260 328 389 410 520 533 656 778 820 1040 1066 1556 1640 1945 2132 2665 3112 3280 3890 4264 5057 5330 6224 6311 7780 8528 10114 10660 12622 15560 15949 20228 21320 25244 25285 31120 31555 31898 40456 42640 50488 50570 63110 63796 79745 80912 82043 100976 101140 126220 127592 159490 164086 202280 207337 252440 255184 258751 318980 328172 404560 410215 414674 504880 517502 637960 656344 820430 829348 1035004 1036685 1275920 1293755 1312688 1640860 1658696 2070008 2073370 2454979 2587510 3281720 3317392 3363763 4140016 4146740 4909958 5175020 6563440 6727526 8293480 9819916 10350040 12274895 13455052 16586960 16818815 19639832 20700080 24549790 26910104 31914727 33637630 39279664 49099580 53820208 63829454 67275260 98199160 100654139 127658908 134550520 159573635 196398320 201308278 255317816 269101040 319147270 402616556 503270695 510635632 638294540 805233112 1006541390 1276589080 1308503807 1610466224 2013082780 2553178160 2617007614 4026165560 5234015228 6542519035 8052331120 10468030456 13085038070 20936060912 26170076140 52340152280 104680304560