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1291117246912 = 26592963115399
BaseRepresentation
bin10010110010011100100…
…101011011100111000000
311120102121011212211202001
4102302130211123213000
5132123202003400122
62425044151233344
7162165042344143
oct22623445334700
94512534784661
101291117246912
11458618032339
1218a288678854
13949a0a18c1c
14466c197405a
15238b91a8527
hex12c9c95b9c0

1291117246912 has 56 divisors (see below), whose sum is σ = 2606387472000. Its totient is φ = 634397273856.

The previous prime is 1291117246901. The next prime is 1291117246921. The reversal of 1291117246912 is 2196427111921.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11130589 + ... + 11245987.

Almost surely, 21291117246912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1291117246912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303193736000).

1291117246912 is an abundant number, since it is smaller than the sum of its proper divisors (1315270225088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1291117246912 is a wasteful number, since it uses less digits than its factorization.

1291117246912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118433 (or 118423 counting only the distinct ones).

The product of its digits is 108864, while the sum is 46.

The spelling of 1291117246912 in words is "one trillion, two hundred ninety-one billion, one hundred seventeen million, two hundred forty-six thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 59 64 118 236 472 944 1888 2963 3776 5926 11852 23704 47408 94816 115399 174817 189632 230798 349634 461596 699268 923192 1398536 1846384 2797072 3692768 5594144 6808541 7385536 11188288 13617082 27234164 54468328 108936656 217873312 341927237 435746624 683854474 1367708948 2735417896 5470835792 10941671584 20173706983 21883343168 40347413966 80694827932 161389655864 322779311728 645558623456 1291117246912