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38258319540 = 22357319293163
BaseRepresentation
bin100011101000010111…
…111010000010110100
310122202021210000001210
4203220113322002310
51111323112211130
625324200321420
72523035231130
oct435027720264
9118667700053
1038258319540
1115252907801
1274b8773270
1337b92a15cc
141bcd1563c0
15eddb4d5b0
hex8e85fa0b4

38258319540 has 192 divisors, whose sum is σ = 126551900160. Its totient is φ = 8450887680.

The previous prime is 38258319503. The next prime is 38258319607. The reversal of 38258319540 is 4591385283.

It is a self number, because there is not a number n which added to its sum of digits gives 38258319540.

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 63 ways as a sum of consecutive naturals, for example, 12093999 + ... + 12097161.

It is an arithmetic number, because the mean of its divisors is an integer number (659124480).

Almost surely, 238258319540 is an apocalyptic number.

38258319540 is a gapful number since it is divisible by the number (30) 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 38258319540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63275950080).

38258319540 is an abundant number, since it is smaller than the sum of its proper divisors (88293580620).

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

38258319540 is a wasteful number, since it uses less digits than its factorization.

38258319540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4142 (or 4140 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 38258319540 in words is "thirty-eight billion, two hundred fifty-eight million, three hundred nineteen thousand, five hundred forty".