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385373239476120 = 23355728971955099
BaseRepresentation
bin101011110011111101011001…
…1000010110111111110011000
31212112111022200122211122100000
41113213322303002313332120
5401002423343301213440
63443342004442413000
7144113204061561540
oct12747726302677630
91775438618748300
10385373239476120
1110187896702a885
123727baba201160
13137057047852bc
146b24242c30320
152e84697d83730
hex15e7eb30b7f98

385373239476120 has 384 divisors, whose sum is σ = 1484913777984000. Its totient is φ = 88054861142016.

The previous prime is 385373239476073. The next prime is 385373239476131. The reversal of 385373239476120 is 21674932373583.

It is a happy number.

385373239476120 is a `hidden beast` number, since 3 + 8 + 5 + 3 + 7 + 3 + 2 + 3 + 9 + 4 + 7 + 612 + 0 = 666.

It is a super-3 number, since 3×3853732394761203 (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 196134331 + ... + 198089429.

It is an arithmetic number, because the mean of its divisors is an integer number (3866962963500).

It is a 1-persistent number, because it is pandigital, but 2⋅385373239476120 = 770746478952240 is not.

Almost surely, 2385373239476120 is an apocalyptic number.

385373239476120 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 385373239476120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742456888992000).

385373239476120 is an abundant number, since it is smaller than the sum of its proper divisors (1099540538507880).

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

385373239476120 is a wasteful number, since it uses less digits than its factorization.

385373239476120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958029 (or 1958013 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 385373239476120 in words is "three hundred eighty-five trillion, three hundred seventy-three billion, two hundred thirty-nine million, four hundred seventy-six thousand, one hundred twenty".