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38136915840 = 273519862977
BaseRepresentation
bin100011100001001000…
…110010011110000000
310122102211100001111110
4203201020302132000
51111101022301330
625304142243320
72520032302362
oct434110623600
9118384301443
1038136915840
11151a0327371
127483b86540
13379a0a57ba
141bbad92d32
15ed316bdb0
hex8e1232780

38136915840 has 64 divisors (see below), whose sum is σ = 121561425360. Its totient is φ = 10169843712.

The previous prime is 38136915811. The next prime is 38136915841. The reversal of 38136915840 is 4851963183.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 38136915840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38136915841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9929569 + ... + 9933408.

Almost surely, 238136915840 is an apocalyptic number.

38136915840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38136915840 is an abundant number, since it is smaller than the sum of its proper divisors (83424509520).

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

38136915840 is a wasteful number, since it uses less digits than its factorization.

38136915840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19862999 (or 19862987 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 38136915840 in words is "thirty-eight billion, one hundred thirty-six million, nine hundred fifteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 19862977 39725954 59588931 79451908 99314885 119177862 158903816 198629770 238355724 297944655 317807632 397259540 476711448 595889310 635615264 794519080 953422896 1191778620 1271230528 1589038160 1906845792 2383557240 2542461056 3178076320 3813691584 4767114480 6356152640 7627383168 9534228960 12712305280 19068457920 38136915840