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38940235392 = 273557182059
BaseRepresentation
bin100100010001000001…
…001101011010000000
310201111210220220202110
4210101001031122000
51114222200013032
625520000215320
72545655353032
oct442101153200
9121453826673
1038940235392
1115572825223
12766900a540
13389764b606
141c55943c52
15102d94c7cc
hex91104d680

38940235392 has 64 divisors (see below), whose sum is σ = 103621269600. Its totient is φ = 12956703744.

The previous prime is 38940235379. The next prime is 38940235393. The reversal of 38940235392 is 29353204983.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (38940235393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122859 + ... + 304917.

Almost surely, 238940235392 is an apocalyptic number.

38940235392 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38940235392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51810634800).

38940235392 is an abundant number, since it is smaller than the sum of its proper divisors (64681034208).

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

38940235392 is a wasteful number, since it uses less digits than its factorization.

38940235392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182633 (or 182621 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 38940235392 in words is "thirty-eight billion, nine hundred forty million, two hundred thirty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 557 1114 1671 2228 3342 4456 6684 8912 13368 17824 26736 35648 53472 71296 106944 182059 213888 364118 546177 728236 1092354 1456472 2184708 2912944 4369416 5825888 8738832 11651776 17477664 23303552 34955328 69910656 101406863 202813726 304220589 405627452 608441178 811254904 1216882356 1622509808 2433764712 3245019616 4867529424 6490039232 9735058848 12980078464 19470117696 38940235392