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10055193281280 = 283257829150413
BaseRepresentation
bin1001001001010010100000…
…1110010100001100000000
31022121021012201010110002100
42102110220032110030000
52304221013440000110
633215143024350400
72055315030446640
oct222245016241400
938537181113070
1010055193281280
113227424518174
12116491ba75400
1357c27bacac44
1426a961474520
1512685a6bcbc0
hex92528394300

10055193281280 has 432 divisors, whose sum is σ = 39808136047680. Its totient is φ = 2295542218752.

The previous prime is 10055193281279. The next prime is 10055193281281. The reversal of 10055193281280 is 8218239155001.

10055193281280 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 5 + 1 + 93 + 281 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (10055193281279) and next prime (10055193281281).

It is a super-2 number, since 2×100551932812802 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10055193281281) 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, 66775354 + ... + 66925766.

Almost surely, 210055193281280 is an apocalyptic number.

10055193281280 is a gapful number since it is divisible by the number (10) 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 10055193281280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19904068023840).

10055193281280 is an abundant number, since it is smaller than the sum of its proper divisors (29752942766400).

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

10055193281280 is a wasteful number, since it uses less digits than its factorization.

10055193281280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151276 (or 151259 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 10055193281280 in words is "ten trillion, fifty-five billion, one hundred ninety-three million, two hundred eighty-one thousand, two hundred eighty".