Search a number
-
+
74009026116 = 2232453412
BaseRepresentation
bin100010011101101001…
…0000001111001000100
321002000211001001211100
41010323102001321010
52203032302313431
653555502140100
75230004225304
oct1047322017104
9232024031740
1074009026116
11294291907a3
1212415581630
136c95ba955c
143821239604
151dd256a4e6
hex113b481e44

74009026116 has 27 divisors (see below), whose sum is σ = 187082497693. Its totient is φ = 24669131280.

The previous prime is 74009026111. The next prime is 74009026121. The reversal of 74009026116 is 61162090047.

The square root of 74009026116 is 272046.

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

It is an interprime number because it is at equal distance from previous prime (74009026111) and next prime (74009026121).

It can be written as a sum of positive squares in only one way, i.e., 264192516 + 73744833600 = 16254^2 + 271560^2 .

It is a super-3 number, since 3×740090261163 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (74009026111) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1609606 + ... + 1654946.

Almost surely, 274009026116 is an apocalyptic number.

74009026116 is the 272046-th square number.

It is an amenable number.

74009026116 is an abundant number, since it is smaller than the sum of its proper divisors (113073471577).

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

74009026116 is an frugal number, since it uses more digits than its factorization.

74009026116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90692 (or 45346 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Multiplying 74009026116 by its sum of digits (36), we get a square (2664324940176 = 16322762).

74009026116 divided by its sum of digits (36) gives a square (2055806281 = 453412).

The spelling of 74009026116 in words is "seventy-four billion, nine million, twenty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 45341 90682 136023 181364 272046 408069 544092 816138 1632276 2055806281 4111612562 6167418843 8223225124 12334837686 18502256529 24669675372 37004513058 74009026116