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380012287290132 = 22378991168698123
BaseRepresentation
bin101011001100111101000000…
…1011001001110101100010100
31211211111211010200111121210210
41112121322001121032230110
5344302110131021241012
63424115122412045420
7143020660510056630
oct12631720131165424
91754454120447723
10380012287290132
111000a13403035a2
1236754b16163870
131340700aa994c3
1469ba99b22ddc0
152ddeed1d6623c
hex1599e8164eb14

380012287290132 has 192 divisors, whose sum is σ = 1026152760729600. Its totient is φ = 107208341560320.

The previous prime is 380012287290091. The next prime is 380012287290149. The reversal of 380012287290132 is 231092782210083.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46782254623 + ... + 46782262745.

It is an arithmetic number, because the mean of its divisors is an integer number (5344545628800).

Almost surely, 2380012287290132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380012287290132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513076380364800).

380012287290132 is an abundant number, since it is smaller than the sum of its proper divisors (646140473439468).

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

380012287290132 is a wasteful number, since it uses less digits than its factorization.

380012287290132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16006 (or 16004 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 380012287290132 in words is "three hundred eighty trillion, twelve billion, two hundred eighty-seven million, two hundred ninety thousand, one hundred thirty-two".