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744151220164 = 2211211323472
BaseRepresentation
bin10101101010000101101…
…11100111111111000100
32122010210011210202202101
422311002313213333010
544143010203021124
61325505223121444
7104522522002012
oct12650267477704
92563704722671
10744151220164
11267657a66900
1210027a8a3284
13552335792a1
1428034d4b8b2
1514555235644
hexad42de7fc4

744151220164 has 81 divisors (see below), whose sum is σ = 1448368273261. Its totient is φ = 334291027840.

The previous prime is 744151220149. The next prime is 744151220251. The reversal of 744151220164 is 461022151447.

The square root of 744151220164 is 862642.

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

It can be written as a sum of positive squares in only one way, i.e., 13112540100 + 731038680064 = 114510^2 + 855008^2 .

It is a super-2 number, since 2×7441512201642 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 2144527839 + ... + 2144528185.

Almost surely, 2744151220164 is an apocalyptic number.

744151220164 is the 862642-nd square number.

It is an amenable number.

744151220164 is a deficient number, since it is larger than the sum of its proper divisors (704217053097).

744151220164 is a wasteful number, since it uses less digits than its factorization.

744151220164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 744151220164 in words is "seven hundred forty-four billion, one hundred fifty-one million, two hundred twenty thousand, one hundred sixty-four".

Divisors: 1 2 4 11 22 44 113 121 226 242 347 452 484 694 1243 1388 2486 3817 4972 7634 12769 13673 15268 25538 27346 39211 41987 51076 54692 78422 83974 120409 140459 156844 167948 240818 280918 431321 481636 561836 862642 1324499 1545049 1725284 2648998 3090098 4430843 4744531 5297996 6180196 8861686 9489062 13606217 14569489 17723372 18978124 27212434 29138978 48739273 54424868 58277956 97478546 149668387 194957092 299336774 536132003 598673548 1072264006 1537502521 1646352257 2144528012 3075005042 3292704514 6150010084 6585409028 16912527731 33825055462 67650110924 186037805041 372075610082 744151220164