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385378821360 = 243351318677351
BaseRepresentation
bin1011001101110100101…
…11100010010011110000
31100211201201020112112000
411212322113202103300
522303223434240420
6453012433334000
736562021635021
oct5467227422360
91324651215460
10385378821360
11139490330495
1262832707300
132a458429b50
141491c3ccc48
15a057eb2690
hex59ba5e24f0

385378821360 has 320 divisors, whose sum is σ = 1430485109760. Its totient is φ = 94798771200.

The previous prime is 385378821343. The next prime is 385378821419. The reversal of 385378821360 is 63128873583.

385378821360 is a `hidden beast` number, since 3 + 8 + 537 + 88 + 21 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 385378821297 and 385378821306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52421685 + ... + 52429035.

It is an arithmetic number, because the mean of its divisors is an integer number (4470265968).

Almost surely, 2385378821360 is an apocalyptic number.

385378821360 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 385378821360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715242554880).

385378821360 is an abundant number, since it is smaller than the sum of its proper divisors (1045106288400).

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

385378821360 is a wasteful number, since it uses less digits than its factorization.

385378821360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9253 (or 9241 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 385378821360 in words is "three hundred eighty-five billion, three hundred seventy-eight million, eight hundred twenty-one thousand, three hundred sixty".