Search a number
-
+
746065790001 = 3272411312
BaseRepresentation
bin10101101101101001111…
…11001000010000110001
32122022201121101222211100
422312310333020100301
544210420320240001
61330423215035013
7104621130403200
oct12666477102061
92568647358740
10746065790001
1126844a763524
12100713b0ba69
135547a11174c
1428177329237
1514618370586
hexadb4fc8431

746065790001 has 27 divisors (see below), whose sum is σ = 1253624017113. Its totient is φ = 426312943560.

The previous prime is 746065789991. The next prime is 746065790021. The reversal of 746065790001 is 100097560647.

It is a happy number.

The square root of 746065790001 is 863751.

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

746065790001 is a `hidden beast` number, since 74 + 6 + 0 + 6 + 579 + 0 + 0 + 0 + 1 = 666.

746065790001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 746065790001 - 25 = 746065789969 is a prime.

It is a super-2 number, since 2×7460657900012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (746065790021) 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, 18118206 + ... + 18159336.

Almost surely, 2746065790001 is an apocalyptic number.

746065790001 is the 863751-st square number.

746065790001 is the 431876-th centered octagonal number.

It is an amenable number.

746065790001 is a deficient number, since it is larger than the sum of its proper divisors (507558227112).

746065790001 is an frugal number, since it uses more digits than its factorization.

746065790001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82282 (or 41141 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 746065790001 in words is "seven hundred forty-six billion, sixty-five million, seven hundred ninety thousand, one".

Divisors: 1 3 7 9 21 49 63 147 441 41131 123393 287917 370179 863751 2015419 2591253 6046257 18138771 1691759161 5075277483 11842314127 15225832449 35526942381 82896198889 106580827143 248688596667 746065790001