Search a number
-
+
454200074328 = 23372111315717203
BaseRepresentation
bin1101001110000000110…
…11110010000001011000
31121102100222120102110010
412213000123302001120
524420200204334303
6544353455521520
744546333634300
oct6470033620130
91542328512403
10454200074328
11165697112460
127403a8292a0
1333aa55b1840
1417daa648600
15bc34d84c03
hex69c06f2058

454200074328 has 384 divisors, whose sum is σ = 1561787377920. Its totient is φ = 108199203840.

The previous prime is 454200074323. The next prime is 454200074333. The reversal of 454200074328 is 823470002454.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (454200074323) and next prime (454200074333).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454200074323) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26393775 + ... + 26410977.

It is an arithmetic number, because the mean of its divisors is an integer number (4067154630).

Almost surely, 2454200074328 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 454200074328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780893688960).

454200074328 is an abundant number, since it is smaller than the sum of its proper divisors (1107587303592).

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

454200074328 is a wasteful number, since it uses less digits than its factorization.

454200074328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17407 (or 17396 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 39.

The spelling of 454200074328 in words is "four hundred fifty-four billion, two hundred million, seventy-four thousand, three hundred twenty-eight".