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38747217552 = 2433734576311
BaseRepresentation
bin100100000101100000…
…111001111010010000
310201000100201121001120
4210011200321322100
51113323241430202
625444503202240
72541122625561
oct440540717220
9121010647046
1038747217552
111548388104a
127614446380
13386666a384
141c3805c168
15101ba220bc
hex905839e90

38747217552 has 80 divisors (see below), whose sum is σ = 102848333952. Its totient is φ = 12561039360.

The previous prime is 38747217499. The next prime is 38747217563. The reversal of 38747217552 is 25571274783.

It is a Smith number, since the sum of its digits (51) 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 = 38747217495 and 38747217504.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6136477 + ... + 6142787.

Almost surely, 238747217552 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 38747217552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51424166976).

38747217552 is an abundant number, since it is smaller than the sum of its proper divisors (64101116400).

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

38747217552 is a wasteful number, since it uses less digits than its factorization.

38747217552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9816 (or 9810 counting only the distinct ones).

The product of its digits is 3292800, while the sum is 51.

The spelling of 38747217552 in words is "thirty-eight billion, seven hundred forty-seven million, two hundred seventeen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 3457 6311 6914 10371 12622 13828 18933 20742 25244 27656 37866 41484 50488 55312 75732 82968 100976 127909 151464 165936 233507 255818 302928 383727 467014 511636 700521 767454 934028 1023272 1401042 1534908 1868056 2046544 2802084 3069816 3736112 5604168 6139632 11208336 21817127 43634254 65451381 87268508 130902762 174537016 261805524 349074032 523611048 807233699 1047222096 1614467398 2421701097 3228934796 4843402194 6457869592 9686804388 12915739184 19373608776 38747217552