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38401225247556 = 22324253250811357
BaseRepresentation
bin10001011101100111110110…
…11000111100101101000100
312000222010021102011120000100
420232303323120330231010
520013131202130410211
6213401140200444100
711042253105630663
oct1056637330745504
9160863242146010
1038401225247556
1111265960597276
1243824b8779630
1318572b24659a2
1496a8b4810dda
15468d85eae156
hex22ecfb63cb44

38401225247556 has 36 divisors (see below), whose sum is σ = 97092588040812. Its totient is φ = 12797398628544.

The previous prime is 38401225247503. The next prime is 38401225247557. The reversal of 38401225247556 is 65574252210483.

38401225247556 is a `hidden beast` number, since 3 + 8 + 40 + 1 + 2 + 2 + 5 + 2 + 47 + 556 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4950803001600 + 33450422245956 = 2225040^2 + 5783634^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (38401225247557) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125252571 + ... + 125558786.

It is an arithmetic number, because the mean of its divisors is an integer number (2697016334467).

Almost surely, 238401225247556 is an apocalyptic number.

38401225247556 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38401225247556 is an abundant number, since it is smaller than the sum of its proper divisors (58691362793256).

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

38401225247556 is a wasteful number, since it uses less digits than its factorization.

38401225247556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250815620 (or 250815615 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 38401225247556 in words is "thirty-eight trillion, four hundred one billion, two hundred twenty-five million, two hundred forty-seven thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 4253 8506 12759 17012 25518 38277 51036 76554 153108 250811357 501622714 752434071 1003245428 1504868142 2257302213 3009736284 4514604426 9029208852 1066700701321 2133401402642 3200102103963 4266802805284 6400204207926 9600306311889 12800408415852 19200612623778 38401225247556