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38678651500040 = 2351725875700007
BaseRepresentation
bin10001100101101100100110…
…10010000111011000001000
312001221122100201121101122122
420302312103102013120020
520032202334241000130
6214132421024110412
711101304020105346
oct1062662322073010
9161848321541578
1038678651500040
111136258446a992
124408222165408
1318774c5609036
1497a0b1900996
154711c19aa2e5
hex232d93487608

38678651500040 has 96 divisors (see below), whose sum is σ = 92604837971520. Its totient is φ = 14536565701632.

The previous prime is 38678651500037. The next prime is 38678651500063. The reversal of 38678651500040 is 4000515687683.

It is a super-3 number, since 3×386786515000403 (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3935717 + ... + 9635723.

It is an arithmetic number, because the mean of its divisors is an integer number (964633728870).

Almost surely, 238678651500040 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 38678651500040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46302418985760).

38678651500040 is an abundant number, since it is smaller than the sum of its proper divisors (53926186471480).

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

38678651500040 is a wasteful number, since it uses less digits than its factorization.

38678651500040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5700639 (or 5700618 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 53.

The spelling of 38678651500040 in words is "thirty-eight trillion, six hundred seventy-eight billion, six hundred fifty-one million, five hundred thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 587 680 1156 1174 1445 2312 2348 2890 2935 4696 5780 5870 9979 11560 11740 19958 23480 39916 49895 79832 99790 169643 199580 339286 399160 678572 848215 1357144 1696430 3392860 5700007 6785720 11400014 22800028 28500035 45600056 57000070 96900119 114000140 193800238 228000280 387600476 484500595 775200952 969001190 1647302023 1938002380 3294604046 3345904109 3876004760 6589208092 6691808218 8236510115 13178416184 13383616436 16473020230 16729520545 26767232872 32946040460 33459041090 56880369853 65892080920 66918082180 113760739706 133836164360 227521479412 284401849265 455042958824 568803698530 966966287501 1137607397060 1933932575002 2275214794120 3867865150004 4834831437505 7735730300008 9669662875010 19339325750020 38678651500040