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930743584901 = 13232313432401
BaseRepresentation
bin11011000101101001010…
…01000000100010000101
310021222102010021000022222
431202310221000202011
5110222130324204101
61551324441102125
7124146456636254
oct15426451004205
93258363230288
10930743584901
113297a95421a9
12130474187945
13699cbc10a70
14330964b279b
151932658701b
hexd8b4a40885

930743584901 has 24 divisors (see below), whose sum is σ = 1051164073176. Its totient is φ = 819166233600.

The previous prime is 930743584877. The next prime is 930743584961. The reversal of 930743584901 is 109485347039.

It can be written as a sum of positive squares in 4 ways, for example, as 29964676 + 930713620225 = 5474^2 + 964735^2 .

It is a de Polignac number, because none of the positive numbers 2k-930743584901 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930743584961) 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, 1936301 + ... + 2368701.

It is an arithmetic number, because the mean of its divisors is an integer number (43798503049).

Almost surely, 2930743584901 is an apocalyptic number.

It is an amenable number.

930743584901 is a deficient number, since it is larger than the sum of its proper divisors (120420488275).

930743584901 is a wasteful number, since it uses less digits than its factorization.

930743584901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432773 (or 432750 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 53.

The spelling of 930743584901 in words is "nine hundred thirty billion, seven hundred forty-three million, five hundred eighty-four thousand, nine hundred one".

Divisors: 1 13 23 299 313 529 4069 6877 7199 93587 165577 432401 2152501 5621213 9945223 129287899 135341513 228740129 1759439669 2973621677 3112854799 40467112387 71595660377 930743584901