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380006780132 = 22741659502301
BaseRepresentation
bin1011000011110100010…
…10110100110011100100
31100022212022210120100002
411201322022310303210
522211223213431012
6450323412040432
736311631223160
oct5417212646344
91308768716302
10380006780132
11137183a143a1
1261793603118
1329ab0498825
141456cb63ca0
159d4156b7c2
hex587a2b4ce4

380006780132 has 48 divisors (see below), whose sum is σ = 779733440640. Its totient is φ = 158646432000.

The previous prime is 380006780123. The next prime is 380006780147. The reversal of 380006780132 is 231087600083.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 505382 + ... + 1007682.

It is an arithmetic number, because the mean of its divisors is an integer number (16244446680).

Almost surely, 2380006780132 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 380006780132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389866720320).

380006780132 is an abundant number, since it is smaller than the sum of its proper divisors (399726660508).

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

380006780132 is a wasteful number, since it uses less digits than its factorization.

380006780132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503012 (or 503010 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 380006780132 in words is "three hundred eighty billion, six million, seven hundred eighty thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 41 82 164 287 574 659 1148 1318 2636 4613 9226 18452 27019 54038 108076 189133 378266 502301 756532 1004602 2009204 3516107 7032214 14064428 20594341 41188682 82377364 144160387 288320774 331016359 576641548 662032718 1324065436 2317114513 4634229026 9268458052 13571670719 27143341438 54286682876 95001695033 190003390066 380006780132