Search a number
-
+
930973626621 = 322921611650601
BaseRepresentation
bin11011000110000100101…
…10100011000011111101
310022000000011010100020200
431203002112203003331
5110223113222022441
61551403335434113
7124155252154653
oct15430226430375
93260004110220
10930973626621
11329907383a25
12130519225939
1369a3778601c
14330b8c74dd3
151933b8777b6
hexd8c25a30fd

930973626621 has 24 divisors (see below), whose sum is σ = 1391754594360. Its totient is φ = 598969728000.

The previous prime is 930973626587. The next prime is 930973626701. The reversal of 930973626621 is 126626379039.

930973626621 is a `hidden beast` number, since 9 + 3 + 0 + 9 + 7 + 3 + 6 + 2 + 6 + 621 = 666.

930973626621 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 354573802521 + 576399824100 = 595461^2 + 759210^2 .

It is not a de Polignac number, because 930973626621 - 27 = 930973626493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930973626421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261280 + ... + 1389321.

It is an arithmetic number, because the mean of its divisors is an integer number (57989774765).

Almost surely, 2930973626621 is an apocalyptic number.

It is an amenable number.

930973626621 is a deficient number, since it is larger than the sum of its proper divisors (460780967739).

930973626621 is a wasteful number, since it uses less digits than its factorization.

930973626621 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652797 (or 1652794 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 930973626621 in words is "nine hundred thirty billion, nine hundred seventy-three million, six hundred twenty-six thousand, six hundred twenty-one".

Divisors: 1 3 9 29 87 261 2161 6483 19449 62669 188007 564021 1650601 4951803 14855409 47867429 143602287 430806861 3566948761 10700846283 32102538849 103441514069 310324542207 930973626621