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37838480336 = 2429733111253
BaseRepresentation
bin100011001111010110…
…010110001111010000
310121200000202221221122
4203033112112033100
51104443122332321
625214401541412
72506446530126
oct431726261720
9117600687848
1037838480336
1115057921358
127400044868
133750304b47
141b8d4a9916
15eb6d6b8ab
hex8cf5963d0

37838480336 has 40 divisors (see below), whose sum is σ = 75944205480. Its totient is φ = 18241767936.

The previous prime is 37838480333. The next prime is 37838480363. The reversal of 37838480336 is 63308483873.

It is a happy number.

37838480336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 21449359936 + 16389120400 = 146456^2 + 128020^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37838480333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 284486 + ... + 395738.

It is an arithmetic number, because the mean of its divisors is an integer number (1898605137).

Almost surely, 237838480336 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 37838480336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37972102740).

37838480336 is an abundant number, since it is smaller than the sum of its proper divisors (38105725144).

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

37838480336 is a wasteful number, since it uses less digits than its factorization.

37838480336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112023 (or 112017 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 53.

The spelling of 37838480336 in words is "thirty-seven billion, eight hundred thirty-eight million, four hundred eighty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 29 58 116 232 464 733 1466 2932 5864 11728 21257 42514 85028 111253 170056 222506 340112 445012 890024 1780048 3226337 6452674 12905348 25810696 51621392 81548449 163096898 326193796 652387592 1304775184 2364905021 4729810042 9459620084 18919240168 37838480336