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74522448144 = 243475832
BaseRepresentation
bin100010101100111100…
…0100101000100010000
321010100121010121110000
41011121320211010100
52210110221320034
654122442410000
75245510233444
oct1053170450420
9233317117400
1074522448144
1129671a85321
1212539500900
137048380981
14386d4c6824
151e12685599
hex1159e25110

74522448144 has 75 divisors (see below), whose sum is σ = 215718033223. Its totient is φ = 24837540192.

The previous prime is 74522448113. The next prime is 74522448149. The reversal of 74522448144 is 44184422547.

The square root of 74522448144 is 272988.

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

74522448144 is a `hidden beast` number, since 7 + 4 + 522 + 4 + 4 + 81 + 44 = 666.

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 74522448144.

It is not an unprimeable number, because it can be changed into a prime (74522448149) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9823777 + ... + 9831359.

Almost surely, 274522448144 is an apocalyptic number.

74522448144 is the 272988-th square number.

It is an amenable number.

74522448144 is an abundant number, since it is smaller than the sum of its proper divisors (141195585079).

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

74522448144 is an frugal number, since it uses more digits than its factorization.

74522448144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15186 (or 7588 counting only the distinct ones).

The product of its digits is 1146880, while the sum is 45.

The spelling of 74522448144 in words is "seventy-four billion, five hundred twenty-two million, four hundred forty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 7583 15166 22749 30332 45498 60664 68247 90996 121328 136494 181992 204741 272988 363984 409482 545976 614223 818964 1091952 1228446 1637928 2456892 3275856 4913784 9827568 57501889 115003778 172505667 230007556 345011334 460015112 517517001 690022668 920030224 1035034002 1380045336 1552551003 2070068004 2760090672 3105102006 4140136008 4657653009 6210204012 8280272016 9315306018 12420408024 18630612036 24840816048 37261224072 74522448144