Search a number
-
+
378484929080832 = 29371731243727409
BaseRepresentation
bin101011000001110101110001…
…1110000000010111000000000
31211122002210202110120110021010
41112003223203300002320000
5344102044113321041312
63420545324233000520
7142502430242360130
oct12603534360027000
91748083673513233
10378484929080832
11aa662614425682
1236548ab8b53140
1313325c8b703692
146966aa8358ac0
152db53dcc7a93c
hex1583ae3c02e00

378484929080832 has 640 divisors, whose sum is σ = 1260058859642880. Its totient is φ = 98450307809280.

The previous prime is 378484929080821. The next prime is 378484929080851. The reversal of 378484929080832 is 238080929484873.

It is a congruent 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 63 ways as a sum of consecutive naturals, for example, 13808769144 + ... + 13808796552.

It is an arithmetic number, because the mean of its divisors is an integer number (1968841968192).

Almost surely, 2378484929080832 is an apocalyptic number.

378484929080832 is a gapful number since it is divisible by the number (32) 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 378484929080832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630029429821440).

378484929080832 is an abundant number, since it is smaller than the sum of its proper divisors (881573930562048).

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

378484929080832 is a wasteful number, since it uses less digits than its factorization.

378484929080832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29922 (or 29906 counting only the distinct ones).

The product of its (nonzero) digits is 1337720832, while the sum is 75.

The spelling of 378484929080832 in words is "three hundred seventy-eight trillion, four hundred eighty-four billion, nine hundred twenty-nine million, eighty thousand, eight hundred thirty-two".