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38254923000 = 2334537195367
BaseRepresentation
bin100011101000001010…
…111100110011111000
310122202001101102220000
4203220022330303320
51111321230014000
625323555433000
72522664323520
oct435012746370
9118661342800
1038254923000
11152509a7948
1274b75b5760
1337b8682618
141bcc910680
15edd6cc000
hex8e82bccf8

38254923000 has 1280 divisors, whose sum is σ = 166350412800. Its totient is φ = 8006169600.

The previous prime is 38254922999. The next prime is 38254923001. The reversal of 38254923000 is 32945283.

38254923000 is a `hidden beast` number, since 3 + 82 + 549 + 2 + 30 + 0 + 0 = 666.

38254923000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38254922999) and next prime (38254923001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38254923001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 570968967 + ... + 570969033.

It is an arithmetic number, because the mean of its divisors is an integer number (129961260).

Almost surely, 238254923000 is an apocalyptic number.

38254923000 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 38254923000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83175206400).

38254923000 is an abundant number, since it is smaller than the sum of its proper divisors (128095489800).

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

38254923000 is a wasteful number, since it uses less digits than its factorization.

38254923000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 38254923000 in words is "thirty-eight billion, two hundred fifty-four million, nine hundred twenty-three thousand".