Search a number
-
+
379305502416 = 24324408759747
BaseRepresentation
bin1011000010100000101…
…11101010011011010000
31100021001110012222011100
411201100113222123100
522203304202034131
6450130041144400
736255354400551
oct5412027523320
91307043188140
10379305502416
11136954082035
126161878b100
13299cb0cc9b9
1414503976328
159ceebe57e6
hex58505ea6d0

379305502416 has 60 divisors (see below), whose sum is σ = 1061570439072. Its totient is φ = 126430183488.

The previous prime is 379305502393. The next prime is 379305502421. The reversal of 379305502416 is 614205503973.

379305502416 is a `hidden beast` number, since 3 + 7 + 93 + 0 + 550 + 2 + 4 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6318655 + ... + 6378401.

Almost surely, 2379305502416 is an apocalyptic number.

379305502416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

379305502416 is an abundant number, since it is smaller than the sum of its proper divisors (682264936656).

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

379305502416 is a wasteful number, since it uses less digits than its factorization.

379305502416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103848 (or 103839 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

It can be divided in two parts, 379305 and 502416, that added together give a square (881721 = 9392).

The spelling of 379305502416 in words is "three hundred seventy-nine billion, three hundred five million, five hundred two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 44087 59747 88174 119494 132261 176348 179241 238988 264522 352696 358482 396783 477976 529044 537723 705392 716964 793566 955952 1058088 1075446 1433928 1587132 2116176 2150892 2867856 3174264 4301784 6348528 8603568 2634065989 5268131978 7902197967 10536263956 15804395934 21072527912 23706593901 31608791868 42145055824 47413187802 63217583736 94826375604 126435167472 189652751208 379305502416