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16221588496 = 2417218732
BaseRepresentation
bin11110001101110000…
…11100110000010000
31112212111210002001221
433012320130300100
5231210211312441
611241352534424
71112662140631
oct170670346020
945774702057
1016221588496
116974733593
1231886b1414
1316b695b999
14adc573888
1564e1b68d1
hex3c6e1cc10

16221588496 has 45 divisors (see below), whose sum is σ = 33404698551. Its totient is φ = 7629613056.

The previous prime is 16221588491. The next prime is 16221588503. The reversal of 16221588496 is 69488512261.

The square root of 16221588496 is 127364.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1667578896 + 14554009600 = 40836^2 + 120640^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16221588491) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8659816 + ... + 8661688.

Almost surely, 216221588496 is an apocalyptic number.

16221588496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16221588496 is the 127364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16221588496

16221588496 is an abundant number, since it is smaller than the sum of its proper divisors (17183110055).

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

16221588496 is an frugal number, since it uses more digits than its factorization.

16221588496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788 (or 1892 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 52.

The spelling of 16221588496 in words is "sixteen billion, two hundred twenty-one million, five hundred eighty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 1873 2312 3746 4624 7492 14984 29968 31841 63682 127364 254728 509456 541297 1082594 2165188 3508129 4330376 7016258 8660752 14032516 28065032 56130064 59638193 119276386 238552772 477105544 954211088 1013849281 2027698562 4055397124 8110794248 16221588496