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1132466461620 = 22351321943223613
BaseRepresentation
bin10000011110101100010…
…000101101101110110100
311000021002112102220101020
4100132230100231232310
5122023242403232440
62224125314301140
7144550401045414
oct20365420555664
94007075386336
101132466461620
113a730488115a
121635908877b0
1382a39159100
143cb51312644
151e6d0dcd3d0
hex107ac42dbb4

1132466461620 has 576 divisors, whose sum is σ = 3720997969920. Its totient is φ = 256372107264.

The previous prime is 1132466461597. The next prime is 1132466461657. The reversal of 1132466461620 is 261646642311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1847416434 + ... + 1847417046.

It is an arithmetic number, because the mean of its divisors is an integer number (6460065920).

Almost surely, 21132466461620 is an apocalyptic number.

1132466461620 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 1132466461620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860498984960).

1132466461620 is an abundant number, since it is smaller than the sum of its proper divisors (2588531508300).

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

1132466461620 is a wasteful number, since it uses less digits than its factorization.

1132466461620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 1132466461620 in words is "one trillion, one hundred thirty-two billion, four hundred sixty-six million, four hundred sixty-one thousand, six hundred twenty".