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1131292939392 = 27337311101859
BaseRepresentation
bin10000011101100110010…
…100000101010010000000
311000011001202020210112000
4100131212110011102000
5122013341443030032
62223413033504000
7144506331216000
oct20354624052200
94004052223460
101131292939392
113a686240a580
12163303872000
13828acca5665
143ca7d516000
151e662d72e7c
hex10766505480

1131292939392 has 1024 divisors, whose sum is σ = 4294771200000. Its totient is φ = 290594304000.

The previous prime is 1131292939349. The next prime is 1131292939433. The reversal of 1131292939392 is 2939392921311.

1131292939392 is a `hidden beast` number, since 1 + 1 + 312 + 9 + 293 + 9 + 39 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1316987859 + ... + 1316988717.

It is an arithmetic number, because the mean of its divisors is an integer number (4194112500).

Almost surely, 21131292939392 is an apocalyptic number.

1131292939392 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 1131292939392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2147385600000).

1131292939392 is an abundant number, since it is smaller than the sum of its proper divisors (3163478260608).

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

1131292939392 is a wasteful number, since it uses less digits than its factorization.

1131292939392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 983 counting only the distinct ones).

The product of its digits is 1417176, while the sum is 54.

The spelling of 1131292939392 in words is "one trillion, one hundred thirty-one billion, two hundred ninety-two million, nine hundred thirty-nine thousand, three hundred ninety-two".