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38483365536 = 25327111735361
BaseRepresentation
bin100011110101110010…
…011000111010100000
310200022222020112010200
4203311302120322200
51112303220144121
625402400025200
72531440131660
oct436562307240
9120288215120
1038483365536
1115358947130
127560002200
133823ab7a15
141c10db81a0
1510037a3a26
hex8f5c98ea0

38483365536 has 144 divisors (see below), whose sum is σ = 136441101888. Its totient is φ = 9995673600.

The previous prime is 38483365523. The next prime is 38483365537. The reversal of 38483365536 is 63556338483.

It is a happy number.

38483365536 is a `hidden beast` number, since 3 + 8 + 4 + 83 + 3 + 6 + 553 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (38483365537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 845505 + ... + 889856.

It is an arithmetic number, because the mean of its divisors is an integer number (947507652).

Almost surely, 238483365536 is an apocalyptic number.

38483365536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38483365536 is an abundant number, since it is smaller than the sum of its proper divisors (97957736352).

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

38483365536 is a wasteful number, since it uses less digits than its factorization.

38483365536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735395 (or 1735384 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 38483365536 in words is "thirty-eight billion, four hundred eighty-three million, three hundred sixty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1386 1584 1848 2016 2464 2772 3168 3696 5544 7392 11088 22176 1735361 3470722 5206083 6941444 10412166 12147527 13882888 15618249 19088971 20824332 24295054 27765776 31236498 36442581 38177942 41648664 48590108 55531552 57266913 62472996 72885162 76355884 83297328 97180216 109327743 114533826 124945992 133622797 145770324 152711768 166594656 171800739 194360432 218655486 229067652 249891984 267245594 291540648 305423536 343601478 388720864 400868391 437310972 458135304 499783968 534491188 583081296 610847072 687202956 801736782 874621944 916270608 1068982376 1166162592 1202605173 1374405912 1603473564 1749243888 1832541216 2137964752 2405210346 2748811824 3206947128 3498487776 4275929504 4810420692 5497623648 6413894256 9620841384 12827788512 19241682768 38483365536