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930210096677 = 17373230963533
BaseRepresentation
bin11011000100101001101…
…01111010011000100101
310021221000221102000001212
431202110311322120211
5110220032241043202
61551155502401205
7124130321235101
oct15422465723045
93257027360055
10930210096677
11329555392644
12130345590205
1369945532064
14330456c0901
15192e4806652
hexd894d7a625

930210096677 has 16 divisors (see below), whose sum is σ = 988012151280. Its totient is φ = 872752806912.

The previous prime is 930210096653. The next prime is 930210096701. The reversal of 930210096677 is 776690012039.

930210096677 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 9644742+1.

It is an interprime number because it is at equal distance from previous prime (930210096653) and next prime (930210096701).

It can be written as a sum of positive squares in 8 ways, for example, as 147620397796 + 782589698881 = 384214^2 + 884641^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-930210096677 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930210096637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14609603 + ... + 14673135.

It is an arithmetic number, because the mean of its divisors is an integer number (61750759455).

Almost surely, 2930210096677 is an apocalyptic number.

It is an amenable number.

930210096677 is a deficient number, since it is larger than the sum of its proper divisors (57802054603).

930210096677 is a wasteful number, since it uses less digits than its factorization.

930210096677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66232.

The product of its (nonzero) digits is 857304, while the sum is 50.

The spelling of 930210096677 in words is "nine hundred thirty billion, two hundred ten million, ninety-six thousand, six hundred seventy-seven".

Divisors: 1 17 373 2309 6341 39253 63533 861257 1080061 14641369 23697809 146697697 402862753 2493860849 54718240981 930210096677