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38744257338 = 2331234358129
BaseRepresentation
bin100100000101010101…
…100111001100111010
310201000011011012102000
4210011111213030322
51113322012213323
625444315521430
72541055516323
oct440525471472
9121004135360
1038744257338
1115482139a96
127613459276
133865b71b77
141c378cb44a
15101b639e43
hex90556733a

38744257338 has 32 divisors (see below), whose sum is σ = 86106806400. Its totient is φ = 12913483968.

The previous prime is 38744257297. The next prime is 38744257339. The reversal of 38744257338 is 83375244783.

38744257338 is a `hidden beast` number, since 38 + 7 + 4 + 4 + 2 + 573 + 38 = 666.

It is a super-2 number, since 2×387442573382 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (38744257339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 637458 + ... + 695586.

It is an arithmetic number, because the mean of its divisors is an integer number (2690837700).

Almost surely, 238744257338 is an apocalyptic number.

38744257338 is an abundant number, since it is smaller than the sum of its proper divisors (47362549062).

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

38744257338 is a wasteful number, since it uses less digits than its factorization.

38744257338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70483 (or 70477 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 38744257338 in words is "thirty-eight billion, seven hundred forty-four million, two hundred fifty-seven thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 12343 24686 37029 58129 74058 111087 116258 174387 222174 333261 348774 523161 666522 1046322 1569483 3138966 717486247 1434972494 2152458741 4304917482 6457376223 12914752446 19372128669 38744257338