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15930985152 = 26391092
BaseRepresentation
bin11101101011000111…
…11000101011000000
31112010020221220020010
432311203320223000
5230111313011102
611152452144520
71102533065565
oct166543705300
945106856203
1015930985152
116835697a35
123107308140
13166b6a0c44
14ab1b2886c
15633911d6c
hex3b58f8ac0

15930985152 has 42 divisors (see below), whose sum is σ = 42155359428. Its totient is φ = 5309745408.

The previous prime is 15930985139. The next prime is 15930985153. The reversal of 15930985152 is 25158903951.

15930985152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (15930985153) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1744374 + ... + 1753482.

It is an arithmetic number, because the mean of its divisors is an integer number (1003699034).

Almost surely, 215930985152 is an apocalyptic number.

15930985152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

15930985152 is an abundant number, since it is smaller than the sum of its proper divisors (26224374276).

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

15930985152 is an frugal number, since it uses more digits than its factorization.

15930985152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18233 (or 9114 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 48.

Multiplying 15930985152 by its sum of digits (48), we get a square (764687287296 = 8744642).

15930985152 divided by its sum of digits (48) gives a square (331895524 = 182182).

The spelling of 15930985152 in words is "fifteen billion, nine hundred thirty million, nine hundred eighty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 9109 18218 27327 36436 54654 72872 109308 145744 218616 291488 437232 582976 874464 1748928 82973881 165947762 248921643 331895524 497843286 663791048 995686572 1327582096 1991373144 2655164192 3982746288 5310328384 7965492576 15930985152