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38421560528 = 2413261232937
BaseRepresentation
bin100011110010000110…
…100111110011010000
310200011122221111121022
4203302012213303100
51112141404414103
625352311215012
72530056606311
oct436206476320
9120148844538
1038421560528
1115326a7310a
127543377468
133814058300
141c06aca608
15eed146138
hex8f21a7cd0

38421560528 has 60 divisors (see below), whose sum is σ = 81930350988. Its totient is φ = 17442247680.

The previous prime is 38421560483. The next prime is 38421560603. The reversal of 38421560528 is 82506512483.

It can be written as a sum of positive squares in 6 ways, for example, as 20188999744 + 18232560784 = 142088^2 + 135028^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 48476 + ... + 281412.

Almost surely, 238421560528 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 38421560528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40965175494).

38421560528 is an abundant number, since it is smaller than the sum of its proper divisors (43508790460).

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

38421560528 is a wasteful number, since it uses less digits than its factorization.

38421560528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233032 (or 233013 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 44.

The spelling of 38421560528 in words is "thirty-eight billion, four hundred twenty-one million, five hundred sixty thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 61 104 122 169 208 244 338 488 676 793 976 1352 1586 2704 3172 6344 10309 12688 20618 41236 82472 164944 232937 465874 931748 1863496 3028181 3726992 6056362 12112724 14209157 24225448 28418314 39366353 48450896 56836628 78732706 113673256 157465412 184719041 227346512 314930824 369438082 629861648 738876164 1477752328 2401347533 2955504656 4802695066 9605390132 19210780264 38421560528