Search a number
-
+
74083668052969 = 107225723132
BaseRepresentation
bin10000110110000011110010…
…101101111100101111101001
3100201022022220012111221110101
4100312003302231330233221
534202241323010143334
6421321322310145401
721414240233246551
oct2066036255745751
9321268805457411
1074083668052969
1121672786293303
128385ab2652261
1332450a1853893
141441950b66161
15887145ec5214
hex4360f2b7cbe9

74083668052969 has 27 divisors (see below), whose sum is σ = 75315245631717. Its totient is φ = 72872163446784.

The previous prime is 74083668052939. The next prime is 74083668052981. The reversal of 74083668052969 is 96925086638047.

The square root of 74083668052969 is 8607187.

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 149121862569 + 73934546190400 = 386163^2 + 8598520^2 .

It is not a de Polignac number, because 74083668052969 - 211 = 74083668050921 is a prime.

It is a super-2 number, since 2×740836680529692 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (74083668052939) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 236689035157 + ... + 236689035469.

Almost surely, 274083668052969 is an apocalyptic number.

74083668052969 is the 8607187-th square number.

74083668052969 is the 4303594-th centered octagonal number.

It is an amenable number.

74083668052969 is a deficient number, since it is larger than the sum of its proper divisors (1231577578748).

74083668052969 is an frugal number, since it uses more digits than its factorization.

74083668052969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 73.

The spelling of 74083668052969 in words is "seventy-four trillion, eighty-three billion, six hundred sixty-eight million, fifty-two thousand, nine hundred sixty-nine".

Divisors: 1 107 257 313 11449 27499 33491 66049 80441 97969 2942393 3583537 7067243 8607187 10482683 20673337 25178033 756195001 920969009 1121647081 2212047059 2694049531 6470754481 236689035313 288263299817 692370729467 74083668052969