Search a number
-
+
10055830307328 = 293213798325601
BaseRepresentation
bin1001001001010100111000…
…1100011000001000000000
31022121022212002210201112200
42102111032030120020000
52304223320024313303
633215330142153200
72055336564206511
oct222251614301000
938538762721480
1010055830307328
113227721065283
121164a79282800
1357c350a8b830
1426a9c1cd8a08
151268965a13a3
hex9254e318200

10055830307328 has 480 divisors, whose sum is σ = 32032452291840. Its totient is φ = 3018011443200.

The previous prime is 10055830307323. The next prime is 10055830307353. The reversal of 10055830307328 is 82370303855001.

10055830307328 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 583 + 0 + 30 + 7 + 32 + 8 = 666.

It is a super-2 number, since 2×100558303073282 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10055830307323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392777728 + ... + 392803328.

It is an arithmetic number, because the mean of its divisors is an integer number (66734275608).

Almost surely, 210055830307328 is an apocalyptic number.

10055830307328 is a gapful number since it is divisible by the number (18) 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 10055830307328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16016226145920).

10055830307328 is an abundant number, since it is smaller than the sum of its proper divisors (21976621984512).

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

10055830307328 is a wasteful number, since it uses less digits than its factorization.

10055830307328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25800 (or 25781 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 10055830307328 in words is "ten trillion, fifty-five billion, eight hundred thirty million, three hundred seven thousand, three hundred twenty-eight".