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38714628570848 = 25531311491169477
BaseRepresentation
bin10001100110101111100111…
…01011101111111011100000
312002002002020000210221202122
420303113303223233323200
520033300024403231343
6214201131013403412
711104016405133536
oct1063276353577340
9162062200727678
1038714628570848
11113768665a375a
1244131a2939568
13187aa0a09c409
1497bb25aaa156
154720ca1dd068
hex2335f3aefee0

38714628570848 has 96 divisors (see below), whose sum is σ = 78775570288800. Its totient is φ = 18720597575680.

The previous prime is 38714628570847. The next prime is 38714628570853. The reversal of 38714628570848 is 84807582641783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38714628570847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32519486 + ... + 33688962.

It is an arithmetic number, because the mean of its divisors is an integer number (820578857175).

Almost surely, 238714628570848 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 38714628570848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39387785144400).

38714628570848 is an abundant number, since it is smaller than the sum of its proper divisors (40060941717952).

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

38714628570848 is a wasteful number, since it uses less digits than its factorization.

38714628570848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169820 (or 1169812 counting only the distinct ones).

The product of its (nonzero) digits is 578027520, while the sum is 71.

The spelling of 38714628570848 in words is "thirty-eight trillion, seven hundred fourteen billion, six hundred twenty-eight million, five hundred seventy thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 53 106 131 149 212 262 298 424 524 596 848 1048 1192 1696 2096 2384 4192 4768 6943 7897 13886 15794 19519 27772 31588 39038 55544 63176 78076 111088 126352 156152 222176 252704 312304 624608 1034507 1169477 2069014 2338954 4138028 4677908 8276056 9355816 16552112 18711632 33104224 37423264 61982281 123964562 153201487 174252073 247929124 306402974 348504146 495858248 612805948 697008292 991716496 1225611896 1394016584 1983432992 2451223792 2788033168 4902447584 5576066336 8119678811 9235359869 16239357622 18470719738 22827021563 32478715244 36941439476 45654043126 64957430488 73882878952 91308086252 129914860976 147765757904 182616172504 259829721952 295531515808 365232345008 730464690016 1209832142839 2419664285678 4839328571356 9678657142712 19357314285424 38714628570848