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1337482998016 = 2811265712
BaseRepresentation
bin10011011101101000001…
…100101111000100000000
311201212021111020001002221
4103131220030233010000
5133403131121414031
62502233050220424
7165426034622104
oct23355014570400
94655244201087
101337482998016
11476250314400
12197268424714
139917c8768c9
1448a3d75b904
1524bce973a11
hex1376832f100

1337482998016 has 81 divisors (see below), whose sum is σ = 2934955853319. Its totient is φ = 607854297600.

The previous prime is 1337482997987. The next prime is 1337482998029. The reversal of 1337482998016 is 6108992847331.

The square root of 1337482998016 is 1156496.

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

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 203540011 + ... + 203546581.

Almost surely, 21337482998016 is an apocalyptic number.

1337482998016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1337482998016 is the 1156496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1337482998016

1337482998016 is an abundant number, since it is smaller than the sum of its proper divisors (1597472855303).

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

1337482998016 is an frugal number, since it uses more digits than its factorization.

1337482998016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13180 (or 6584 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 61.

The spelling of 1337482998016 in words is "one trillion, three hundred thirty-seven billion, four hundred eighty-two million, nine hundred ninety-eight thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1408 1936 2816 3872 6571 7744 13142 15488 26284 30976 52568 72281 105136 144562 210272 289124 420544 578248 795091 841088 1156496 1590182 1682176 2312992 3180364 4625984 6360728 9251968 12721456 18503936 25442912 43178041 50885824 86356082 101771648 172712164 203543296 345424328 474958451 690848656 949916902 1381697312 1899833804 2763394624 3799667608 5224542961 5526789248 7599335216 10449085922 11053578496 15198670432 20898171844 30397340864 41796343688 60794681728 83592687376 121589363456 167185374752 334370749504 668741499008 1337482998016