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946121879461 = 1110115140913789
BaseRepresentation
bin11011100010010010100…
…00100010111110100101
310100110002212020022121011
431301021100202332211
5111000124200120321
62002350431222221
7125232532166263
oct15611120427645
93313085208534
10946121879461
11335280154550
12133446377971
136b2acc3b945
1433b14a4b433
15199266c3ae1
hexdc49422fa5

946121879461 has 32 divisors (see below), whose sum is σ = 1051896787200. Its totient is φ = 843825600000.

The previous prime is 946121879411. The next prime is 946121879537. The reversal of 946121879461 is 164978121649.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 946121879461 - 213 = 946121871269 is a prime.

It is a super-2 number, since 2×9461218794612 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 946121879396 and 946121879405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (946121879411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68607355 + ... + 68621143.

It is an arithmetic number, because the mean of its divisors is an integer number (32871774600).

Almost surely, 2946121879461 is an apocalyptic number.

It is an amenable number.

946121879461 is a deficient number, since it is larger than the sum of its proper divisors (105774907739).

946121879461 is a wasteful number, since it uses less digits than its factorization.

946121879461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14461.

The product of its digits is 5225472, while the sum is 58.

The spelling of 946121879461 in words is "nine hundred forty-six billion, one hundred twenty-one million, eight hundred seventy-nine thousand, four hundred sixty-one".

Divisors: 1 11 101 151 409 1111 1661 4499 13789 15251 41309 61759 151679 167761 454399 679349 1392689 2082139 5639701 6237659 15319579 22903529 62036711 68614249 210296039 569609801 851594851 2313256429 6265707811 9367543361 86011079951 946121879461