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38394977280 = 21035111132011
BaseRepresentation
bin100011110000100001…
…001101110000000000
310200002210220221020120
4203300201031300000
51112113103233110
625345521340240
72526314631162
oct436041156000
9120083827216
1038394977280
1115312a66790
127536497680
13380b6ab58a
141c0336a932
15eeab44870
hex8f084dc00

38394977280 has 352 divisors, whose sum is σ = 135220693248. Its totient is φ = 9220915200.

The previous prime is 38394977279. The next prime is 38394977303. The reversal of 38394977280 is 8277949383.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19091475 + ... + 19093485.

Almost surely, 238394977280 is an apocalyptic number.

38394977280 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 38394977280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67610346624).

38394977280 is an abundant number, since it is smaller than the sum of its proper divisors (96825715968).

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

38394977280 is a wasteful number, since it uses less digits than its factorization.

38394977280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 38394977280 in words is "thirty-eight billion, three hundred ninety-four million, nine hundred seventy-seven thousand, two hundred eighty".