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74220378765625 = 56416
BaseRepresentation
bin10000111000000011000111…
…010011111011100100111001
3100201210101202210211201020101
4100320003013103323210321
534212011313431000000
6421504212111155401
721430150114162051
oct2070030723734471
9321711683751211
1074220378765625
112171575a98a154
1283a84a6815b61
133254c4ab145b1
1414483dd5a6561
1588a99805ce6a
hex4380c74fb939

74220378765625 has 49 divisors (see below), whose sum is σ = 95093643078757. Its totient is φ = 57928100500000.

The previous prime is 74220378765581. The next prime is 74220378765667. The reversal of 74220378765625 is 52656787302247.

The square root of 74220378765625 is 8615125.

The cubic root of 74220378765625 is 42025.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 24 ways, for example, as 54131732060329 + 20088646705296 = 7357427^2 + 4482036^2 .

It is not a de Polignac number, because 74220378765625 - 219 = 74220378241337 is a prime.

It is a super-2 number, since 2×742203787656252 (a number of 29 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 48 ways as a sum of consecutive naturals, for example, 1810253140605 + ... + 1810253140645.

Almost surely, 274220378765625 is an apocalyptic number.

74220378765625 is the 8615125-th square number.

74220378765625 is the 4307563-rd centered octagonal number.

It is an amenable number.

74220378765625 is a deficient number, since it is larger than the sum of its proper divisors (20873264313132).

74220378765625 is an frugal number, since it uses more digits than its factorization.

74220378765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 237081600, while the sum is 64.

The spelling of 74220378765625 in words is "seventy-four trillion, two hundred twenty billion, three hundred seventy-eight million, seven hundred sixty-five thousand, six hundred twenty-five".

Divisors: 1 5 25 41 125 205 625 1025 1681 3125 5125 8405 15625 25625 42025 68921 128125 210125 344605 640625 1050625 1723025 2825761 5253125 8615125 14128805 26265625 43075625 70644025 115856201 215378125 353220125 579281005 1076890625 1766100625 2896405025 4750104241 8830503125 14482025125 23750521205 44152515625 72410125625 118752606025 362050628125 593763030125 1810253140625 2968815150625 14844075753125 74220378765625