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15019438242064 = 24439222072
BaseRepresentation
bin1101101010001111110001…
…0001111111100100010000
31222011211210110211101110211
43122203330101333210100
53432034302142221224
651535500142333504
73110055452421214
oct332437421774420
958154713741424
1015019438242064
114870787371543
121826a4b58a294
1384c4333cb169
1439cd3232a944
151b0a53e18894
hexda8fc47f910

15019438242064 has 45 divisors (see below), whose sum is σ = 29179821458487. Its totient is φ = 7489217768352.

The previous prime is 15019438241939. The next prime is 15019438242139. The reversal of 15019438242064 is 46024283491051.

The square root of 15019438242064 is 3875492.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 15019438241999 and 15019438242017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6805362849 + ... + 6805365055.

Almost surely, 215019438242064 is an apocalyptic number.

15019438242064 is the 3875492-nd square number.

It is an amenable number.

15019438242064 is a deficient number, since it is larger than the sum of its proper divisors (14160383216423).

15019438242064 is an frugal number, since it uses more digits than its factorization.

15019438242064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5300 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

Multiplying 15019438242064 by its sum of digits (49), we get a square (735952473861136 = 271284442).

The spelling of 15019438242064 in words is "fifteen trillion, nineteen billion, four hundred thirty-eight million, two hundred forty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 439 878 1756 2207 3512 4414 7024 8828 17656 35312 192721 385442 770884 968873 1541768 1937746 3083536 3875492 4870849 7750984 9741698 15501968 19483396 38966792 77933584 425335247 850670494 1701340988 2138302711 3402681976 4276605422 6805363952 8553210844 17106421688 34212843376 938714890129 1877429780258 3754859560516 7509719121032 15019438242064