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19749651507364 = 221381216092
BaseRepresentation
bin1000111110110010100101…
…11101100110100010100100
32120221001022011121101111211
410133121102331212202210
510042034241241213424
6110000510433041204
74105602526653412
oct437312275464244
976831264541454
1019749651507364
116324864449149
12226b7463b6204
13b034cbc78aac
144c3c614522b2
15243b0167eb94
hex11f652f668a4

19749651507364 has 27 divisors (see below), whose sum is σ = 34608444252291. Its totient is φ = 9861542464320.

The previous prime is 19749651507347. The next prime is 19749651507371. The reversal of 19749651507364 is 46370515694791.

The square root of 19749651507364 is 4444058.

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 6114947556964 + 13634703950400 = 2472842^2 + 3692520^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 19749651507364.

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, 12274487392 + ... + 12274489000.

Almost surely, 219749651507364 is an apocalyptic number.

19749651507364 is the 4444058-th square number.

It is an amenable number.

19749651507364 is a deficient number, since it is larger than the sum of its proper divisors (14858792744927).

19749651507364 is an frugal number, since it uses more digits than its factorization.

19749651507364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5984 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 171460800, while the sum is 67.

The spelling of 19749651507364 in words is "nineteen trillion, seven hundred forty-nine billion, six hundred fifty-one million, five hundred seven thousand, three hundred sixty-four".

Divisors: 1 2 4 1381 1609 2762 3218 5524 6436 1907161 2222029 2588881 3814322 4444058 5177762 7628644 8888116 10355524 3068622049 3575244661 6137244098 7150489322 12274488196 14300978644 4937412876841 9874825753682 19749651507364