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15314722016 = 2511307141719
BaseRepresentation
bin11100100001101010…
…00001110011100000
31110112022100111010112
432100311001303200
5222331032101031
611011355350452
71051340663216
oct162065016340
943468314115
1015314722016
116549841360
122b74a52428
1315a0accab9
14a53d4acb6
155e978062b
hex390d41ce0

15314722016 has 48 divisors (see below), whose sum is σ = 32999218560. Its totient is φ = 6938513280.

The previous prime is 15314722013. The next prime is 15314722067. The reversal of 15314722016 is 61022741351.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15314722013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37205 + ... + 178923.

It is an arithmetic number, because the mean of its divisors is an integer number (687483720).

Almost surely, 215314722016 is an apocalyptic number.

15314722016 is a gapful number since it is divisible by the number (16) 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 15314722016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16499609280).

15314722016 is an abundant number, since it is smaller than the sum of its proper divisors (17684496544).

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

15314722016 is a wasteful number, since it uses less digits than its factorization.

15314722016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142047 (or 142039 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 15314722016 in words is "fifteen billion, three hundred fourteen million, seven hundred twenty-two thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 307 352 614 1228 2456 3377 4912 6754 9824 13508 27016 54032 108064 141719 283438 566876 1133752 1558909 2267504 3117818 4535008 6235636 12471272 24942544 43507733 49885088 87015466 174030932 348061864 478585063 696123728 957170126 1392247456 1914340252 3828680504 7657361008 15314722016