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38866045400 = 23527213231757
BaseRepresentation
bin100100001100100110…
…001100100111011000
310201022122022200012222
4210030212030213120
51114044201423100
625504350123212
72544064635500
oct441446144730
9121278280188
1038866045400
1115534962186
1276481b0508
133885173900
141c49b50a00
151027195485
hex90c98c9d8

38866045400 has 432 divisors, whose sum is σ = 117651666240. Its totient is φ = 11887948800.

The previous prime is 38866045399. The next prime is 38866045409. The reversal of 38866045400 is 454066883.

It is a super-2 number, since 2×388660454002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38866045409) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 51341822 + ... + 51342578.

It is an arithmetic number, because the mean of its divisors is an integer number (272341820).

Almost surely, 238866045400 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 38866045400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58825833120).

38866045400 is an abundant number, since it is smaller than the sum of its proper divisors (78785620840).

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

38866045400 is a wasteful number, since it uses less digits than its factorization.

38866045400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The spelling of 38866045400 in words is "thirty-eight billion, eight hundred sixty-six million, forty-five thousand, four hundred".