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104455003055312 = 24713137769680959
BaseRepresentation
bin10111110000000001010011…
…010110100010010011010000
3111200211210121202112022111102
4113300001103112202103100
5102142342321240232222
61010053544351203532
731000424231253260
oct2760012326422320
9450753552468442
10104455003055312
11303121330a7748
12b8700b52165a8
1346390ab9aab90
141bb191329d7a0
15c121aad74d92
hex5f00535a24d0

104455003055312 has 160 divisors (see below), whose sum is σ = 251229786931200. Its totient is φ = 40967827881984.

The previous prime is 104455003055311. The next prime is 104455003055317. The reversal of 104455003055312 is 213550300554401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104455003055311) by changing a digit.

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, 153053489 + ... + 153734447.

It is an arithmetic number, because the mean of its divisors is an integer number (1570186168320).

Almost surely, 2104455003055312 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 104455003055312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125614893465600).

104455003055312 is an abundant number, since it is smaller than the sum of its proper divisors (146774783875888).

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

104455003055312 is a wasteful number, since it uses less digits than its factorization.

104455003055312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681893 (or 681887 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 38.

The spelling of 104455003055312 in words is "one hundred four trillion, four hundred fifty-five billion, three million, fifty-five thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 137 182 208 274 364 548 728 769 959 1096 1456 1538 1781 1918 2192 3076 3562 3836 5383 6152 7124 7672 9997 10766 12304 12467 14248 15344 19994 21532 24934 28496 39988 43064 49868 69979 79976 86128 99736 105353 139958 159952 199472 210706 279916 421412 559832 680959 737471 842824 1119664 1361918 1369589 1474942 1685648 2723836 2739178 2949884 4766713 5447672 5478356 5899768 8852467 9533426 9587123 10895344 10956712 11799536 17704934 19066852 19174246 21913424 35409868 38133704 38348492 61967269 70819736 76267408 76696984 93291383 123934538 141639472 153393968 186582766 247869076 373165532 495738152 523657471 653039681 746331064 991476304 1047314942 1212787979 1306079362 1492662128 2094629884 2425575958 2612158724 3665602297 4189259768 4851151916 5224317448 6807547123 7331204594 8378519536 8489515853 9702303832 10448634896 13615094246 14662409188 16979031706 19404607664 27230188492 29324818376 33958063412 47652829861 54460376984 58649636752 67916126824 71741073527 95305659722 108920753968 135832253648 143482147054 190611319444 286964294108 381222638888 502187514689 573928588216 762445277776 932633955851 1004375029378 1147857176432 1865267911702 2008750058756 3730535823404 4017500117512 6528437690957 7461071646808 8035000235024 13056875381914 14922143293616 26113750763828 52227501527656 104455003055312