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74219155422916 = 2272173235572
BaseRepresentation
bin10000111000000001111110…
…011001001111111011000100
3100201210021121112220110112011
4100320001332121033323010
534212001312242013131
6421503450450504004
721430104601013200
oct2070017631177304
9321707545813464
1074219155422916
112171519238a719
1283a8204b95004
133254ab453937a
141448324d1bb00
1588a9259610b1
hex43807e64fec4

74219155422916 has 81 divisors (see below), whose sum is σ = 152010125490279. Its totient is φ = 31615456248768.

The previous prime is 74219155422887. The next prime is 74219155422947. The reversal of 74219155422916 is 61922455191247.

The square root of 74219155422916 is 8615054.

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 202728664516 + 74016426758400 = 450254^2 + 8603280^2 .

It is a super-2 number, since 2×742191554229162 (a number of 29 digits) contains 22 as substring.

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, 20865659010 + ... + 20865662566.

Almost surely, 274219155422916 is an apocalyptic number.

74219155422916 is the 8615054-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74219155422916

74219155422916 is an abundant number, since it is smaller than the sum of its proper divisors (77790970067363).

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

74219155422916 is an frugal number, since it uses more digits than its factorization.

74219155422916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7478 (or 3739 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 58.

The spelling of 74219155422916 in words is "seventy-four trillion, two hundred nineteen billion, one hundred fifty-five million, four hundred twenty-two thousand, nine hundred sixteen".

Divisors: 1 2 4 7 14 28 49 98 173 196 346 692 1211 2422 3557 4844 7114 8477 14228 16954 24899 29929 33908 49798 59858 99596 119716 174293 209503 348586 419006 615361 697172 838012 1230722 1466521 2461444 2933042 4307527 5866084 8615054 12652249 17230108 25304498 30152689 50608996 60305378 88565743 106457453 120610756 177131486 212914906 354262972 425829812 619960201 745202171 1239920402 1490404342 2188839077 2479840804 2980808684 4377678154 5216415197 8755356308 10432830394 15321873539 20865660788 30643747078 61287494156 107253114773 214506229546 378669160321 429012459092 757338320642 1514676641284 2650684122247 5301368244494 10602736488988 18554788855729 37109577711458 74219155422916