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38670696048 = 24319313673727
BaseRepresentation
bin100100000000111100…
…111111111001110000
310200211000201220021210
4210000330333321300
51113144144233143
625433131120120
72536203331035
oct440074777160
9120730656253
1038670696048
1115444666336
1275b28a3040
13385385738a
141c2bc1d38c
151014e59033
hex900f3fe70

38670696048 has 160 divisors (see below), whose sum is σ = 108874301440. Its totient is φ = 11782506240.

The previous prime is 38670696047. The next prime is 38670696073. The reversal of 38670696048 is 84069607683.

It is a happy number.

38670696048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38670696047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10373961 + ... + 10377687.

It is an arithmetic number, because the mean of its divisors is an integer number (680464384).

Almost surely, 238670696048 is an apocalyptic number.

38670696048 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38670696048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54437150720).

38670696048 is an abundant number, since it is smaller than the sum of its proper divisors (70203605392).

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

38670696048 is a wasteful number, since it uses less digits than its factorization.

38670696048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4155 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 38670696048 in words is "thirty-eight billion, six hundred seventy million, six hundred ninety-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 114 124 152 186 228 248 304 367 372 456 496 589 734 744 912 1101 1178 1468 1488 1767 2202 2356 2936 3534 3727 4404 4712 5872 6973 7068 7454 8808 9424 11181 11377 13946 14136 14908 17616 20919 22362 22754 27892 28272 29816 34131 41838 44724 45508 55784 59632 68262 70813 83676 89448 91016 111568 115537 136524 141626 167352 178896 182032 212439 216163 231074 273048 283252 334704 346611 424878 432326 462148 546096 566504 648489 693222 849756 864652 924296 1133008 1296978 1367809 1386444 1699512 1729304 1848592 2195203 2593956 2735618 2772888 3399024 3458608 4103427 4390406 5187912 5471236 5545776 6585609 8206854 8780812 10375824 10942472 13171218 16413708 17561624 21884944 25988371 26342436 32827416 35123248 42402079 51976742 52684872 65654832 77965113 84804158 103953484 105369744 127206237 155930226 169608316 207906968 254412474 311860452 339216632 415813936 508824948 623720904 678433264 805639501 1017649896 1247441808 1611279002 2035299792 2416918503 3222558004 4833837006 6445116008 9667674012 12890232016 19335348024 38670696048