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1053756104676 = 2231123883393077
BaseRepresentation
bin11110101010110001100…
…00100001111111100100
310201201221002000111001220
433111120300201333210
5114231043030322201
62124031110220340
7136063026050202
oct17253060417744
93651832014056
101053756104676
11376993938a90
121502849546b0
13784a42740c2
1439005960072
151c625c56036
hexf558c21fe4

1053756104676 has 96 divisors (see below), whose sum is σ = 2802086396928. Its totient is φ = 305089868160.

The previous prime is 1053756104671. The next prime is 1053756104707. The reversal of 1053756104676 is 6764016573501.

It is a super-2 number, since 2×10537561046762 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053756104671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2484250 + ... + 2877326.

It is an arithmetic number, because the mean of its divisors is an integer number (29188399968).

Almost surely, 21053756104676 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 1053756104676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401043198464).

1053756104676 is an abundant number, since it is smaller than the sum of its proper divisors (1748330292252).

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

1053756104676 is a wasteful number, since it uses less digits than its factorization.

1053756104676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394001 (or 393999 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 51.

The spelling of 1053756104676 in words is "one trillion, fifty-three billion, seven hundred fifty-six million, one hundred four thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 883 1012 1518 1766 2649 3036 3532 5298 9713 10596 19426 20309 29139 38852 40618 58278 60927 81236 116556 121854 223399 243708 393077 446798 670197 786154 893596 1179231 1340394 1572308 2358462 2680788 4323847 4716924 8647694 9040771 12971541 17295388 18081542 25943082 27122313 36163084 51886164 54244626 99448481 108489252 198896962 298345443 347086991 397793924 596690886 694173982 1041260973 1193381772 1388347964 2082521946 3817956901 4165043892 7635913802 7983000793 11453870703 15271827604 15966001586 22907741406 23949002379 31932003172 45815482812 47898004758 87813008723 95796009516 175626017446 263439026169 351252034892 526878052338 1053756104676