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38260372428 = 223219139939983
BaseRepresentation
bin100011101000011111…
…101111001111001100
310122202102122022002200
4203220133233033030
51111324123404203
625324312321500
72523061541205
oct435037571714
9118672568080
1038260372428
1115253a8a103
1274b93a3290
1337b983cb35
141bcd52c5ac
15edde069a3
hex8e87ef3cc

38260372428 has 72 divisors (see below), whose sum is σ = 101879232000. Its totient is φ = 12073284576.

The previous prime is 38260372411. The next prime is 38260372433. The reversal of 38260372428 is 82427306283.

38260372428 is a `hidden beast` number, since 38 + 2 + 603 + 7 + 2 + 4 + 2 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 936925 + ... + 976907.

Almost surely, 238260372428 is an apocalyptic number.

38260372428 is a gapful number since it is divisible by the number (38) 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 38260372428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50939616000).

38260372428 is an abundant number, since it is smaller than the sum of its proper divisors (63618859572).

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

38260372428 is a wasteful number, since it uses less digits than its factorization.

38260372428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41411 (or 41406 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 38260372428 in words is "thirty-eight billion, two hundred sixty million, three hundred seventy-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 1399 2798 4197 5596 8394 12591 16788 25182 26581 39983 50364 53162 79743 79966 106324 119949 159486 159932 239229 239898 318972 359847 478458 479796 719694 759677 956916 1439388 1519354 2279031 3038708 4558062 6837093 9116124 13674186 27348372 55936217 111872434 167808651 223744868 335617302 503425953 671234604 1006851906 1062788123 2013703812 2125576246 3188364369 4251152492 6376728738 9565093107 12753457476 19130186214 38260372428