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1132433966070 = 23251117271107521
BaseRepresentation
bin10000011110101010010…
…100110000001111110110
311000021000021021221212100
4100132222110300033312
5122023211043403240
62224122154002530
7144546524614251
oct20365224601766
94007007257770
101132433966070
113a72984a6830
12163581a16446
1382a324bc284
143cb4ac94098
151e6cd10ee30
hex107aa5303f6

1132433966070 has 576 divisors, whose sum is σ = 3499147372032. Its totient is φ = 251876352000.

The previous prime is 1132433966057. The next prime is 1132433966077. The reversal of 1132433966070 is 706693342311.

1132433966070 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 4 + 3 + 39 + 6 + 607 + 0 = 666.

It is a super-2 number, since 2×11324339660702 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132433966077) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2173577410 + ... + 2173577930.

It is an arithmetic number, because the mean of its divisors is an integer number (6074908632).

Almost surely, 21132433966070 is an apocalyptic number.

1132433966070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132433966070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749573686016).

1132433966070 is an abundant number, since it is smaller than the sum of its proper divisors (2366713405962).

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

1132433966070 is a wasteful number, since it uses less digits than its factorization.

1132433966070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 1132433966070 in words is "one trillion, one hundred thirty-two billion, four hundred thirty-three million, nine hundred sixty-six thousand, seventy".