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1130315294592 = 27321117371091301
BaseRepresentation
bin10000011100101100000…
…010101010011110000000
311000001112121122021222100
4100130230002222132000
5122004341203411332
62223132031310400
7144443160323421
oct20345402523600
94001477567870
101130315294592
113a6400575570
1216309037b400
1382785594903
143c9c9747648
151e60710a67c
hex1072c0aa780

1130315294592 has 768 divisors, whose sum is σ = 3896947454400. Its totient is φ = 310542336000.

The previous prime is 1130315294579. The next prime is 1130315294627. The reversal of 1130315294592 is 2954925130311.

1130315294592 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 3 + 1 + 52 + 9 + 4 + 592 = 666.

It is a super-2 number, since 2×11303152945922 (a number of 25 digits) contains 22 as substring.

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, 868804342 + ... + 868805642.

Almost surely, 21130315294592 is an apocalyptic number.

1130315294592 is a gapful number since it is divisible by the number (12) 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 1130315294592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948473727200).

1130315294592 is an abundant number, since it is smaller than the sum of its proper divisors (2766632159808).

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

1130315294592 is a wasteful number, since it uses less digits than its factorization.

1130315294592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 1130315294592 in words is "one trillion, one hundred thirty billion, three hundred fifteen million, two hundred ninety-four thousand, five hundred ninety-two".