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38720850117147 = 32114171523256901
BaseRepresentation
bin10001100110111011001101…
…00001000100001000011011
312002002200021121202020211100
420303131212201010020123
520033400300112222042
6214204040223002443
711104326522325512
oct1063354641041033
9162080247666740
1038720850117147
1111379469493560
12441443a439423
13187b48c027663
1497c1560a9679
154723414d924c
hex23376684421b

38720850117147 has 96 divisors (see below), whose sum is σ = 63504595994112. Its totient is φ = 22529102400000.

The previous prime is 38720850117113. The next prime is 38720850117161. The reversal of 38720850117147 is 74171105802783.

38720850117147 is a `hidden beast` number, since 3 + 8 + 7 + 20 + 8 + 501 + 1 + 71 + 47 = 666.

It is not a de Polignac number, because 38720850117147 - 211 = 38720850115099 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 38720850117093 and 38720850117102.

It is not an unprimeable number, because it can be changed into a prime (38720850117197) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 150594397 + ... + 150851297.

It is an arithmetic number, because the mean of its divisors is an integer number (661506208272).

Almost surely, 238720850117147 is an apocalyptic number.

38720850117147 is a deficient number, since it is larger than the sum of its proper divisors (24783745876965).

38720850117147 is a wasteful number, since it uses less digits than its factorization.

38720850117147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257553 (or 257550 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 54.

The spelling of 38720850117147 in words is "thirty-eight trillion, seven hundred twenty billion, eight hundred fifty million, one hundred seventeen thousand, one hundred forty-seven".

Divisors: 1 3 9 11 33 41 71 99 123 213 369 451 523 639 781 1353 1569 2343 2911 4059 4707 5753 7029 8733 17259 21443 26199 32021 37133 51777 64329 96063 111399 192987 235873 256901 288189 334197 408463 707619 770703 1225389 1522453 2122857 2312109 2825911 3676167 4567359 8477733 10532941 13702077 16746983 18239971 25433199 31598823 50240949 54719913 94796469 115862351 134359223 150722847 164159739 200639681 347587053 403077669 601919043 747838811 1042761159 1209233007 1477951453 1805757129 2243516433 4433854359 5508728143 6730549299 8226226921 9539504833 13301563077 16526184429 24678680763 28618514499 49578553287 60596009573 74036042289 85855543497 104934553163 181788028719 314803659489 391119698153 545364086157 944410978467 1173359094459 3520077283377 4302316679683 12906950039049 38720850117147