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38827065480075 = 33524113110709659
BaseRepresentation
bin10001101010000001000010…
…11100100001001110001011
312002110211102221200202011000
420311000201130201032023
520042120312230330300
6214324524014510043
711115106610113605
oct1065004134411613
9162424387622130
1038827065480075
111140a514275834
124430b41805323
1318884b8408a32
1498335079a175
15474eab1ecc00
hex23502172138b

38827065480075 has 96 divisors (see below), whose sum is σ = 73624200249600. Its totient is φ = 20048479776000.

The previous prime is 38827065480061. The next prime is 38827065480127. The reversal of 38827065480075 is 57008456072883.

38827065480075 is a `hidden beast` number, since 3 + 8 + 8 + 27 + 0 + 65 + 480 + 0 + 75 = 666.

It is not a de Polignac number, because 38827065480075 - 24 = 38827065480059 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 38827065479994 and 38827065480021.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1729405 + ... + 8980254.

It is an arithmetic number, because the mean of its divisors is an integer number (766918752600).

Almost surely, 238827065480075 is an apocalyptic number.

38827065480075 is a deficient number, since it is larger than the sum of its proper divisors (34797134769525).

38827065480075 is a wasteful number, since it uses less digits than its factorization.

38827065480075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10709850 (or 10709839 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 38827065480075 in words is "thirty-eight trillion, eight hundred twenty-seven billion, sixty-five million, four hundred eighty thousand, seventy-five".

Divisors: 1 3 5 9 15 25 27 41 45 75 123 131 135 205 225 369 393 615 655 675 1025 1107 1179 1845 1965 3075 3275 3537 5371 5535 5895 9225 9825 16113 17685 26855 27675 29475 48339 80565 88425 134275 145017 241695 402825 725085 1208475 3625425 10709659 32128977 53548295 96386931 160644885 267741475 289160793 439096019 481934655 803224425 1317288057 1402965329 1445803965 2195480095 2409673275 3951864171 4208895987 6586440285 7014826645 7229019825 10977400475 11855592513 12626687961 19759320855 21044479935 32932201425 35074133225 37880063883 57521578489 59277962565 63133439805 98796604275 105222399675 172564735467 189400319415 287607892445 296389812825 315667199025 517694206401 862823677335 947001597075 1438039462225 1553082619203 2588471032005 4314118386675 7765413096015 12942355160025 38827065480075