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382305680058 = 231928307118471
BaseRepresentation
bin1011001000000110011…
…00011011101010111010
31100112210112120210011210
411210003030123222322
522230430223230213
6451343453303550
736422614443261
oct5440314335272
91315715523153
10382305680058
11138153653995
1262115494bb6
132a088847043
141470a1c75d8
159e282c20c3
hex590331baba

382305680058 has 32 divisors (see below), whose sum is σ = 804889290240. Its totient is φ = 120722825520.

The previous prime is 382305680011. The next prime is 382305680131. The reversal of 382305680058 is 850086503283.

It is a junction number, because it is equal to n+sod(n) for n = 382305679989 and 382305680016.

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, 3167763 + ... + 3286233.

It is an arithmetic number, because the mean of its divisors is an integer number (25152790320).

Almost surely, 2382305680058 is an apocalyptic number.

382305680058 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

382305680058 is an abundant number, since it is smaller than the sum of its proper divisors (422583610182).

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

382305680058 is a wasteful number, since it uses less digits than its factorization.

382305680058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146802.

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 382305680058 in words is "three hundred eighty-two billion, three hundred five million, six hundred eighty thousand, fifty-eight".

Divisors: 1 2 3 6 19 38 57 114 28307 56614 84921 118471 169842 236942 355413 537833 710826 1075666 1613499 2250949 3226998 4501898 6752847 13505694 3353558597 6707117194 10060675791 20121351582 63717613343 127435226686 191152840029 382305680058