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1116831176020 = 225725391123603
BaseRepresentation
bin10000010000001000010…
…100110101010101010100
310221202201212220002200101
4100100020110311111110
5121244232240113040
62213022024023444
7143455055235400
oct20201024652524
93852655802611
101116831176020
113a07110a071a
12160548601b84
1381416b0b721
143c0aa99c100
151e0b842b09a
hex10408535554

1116831176020 has 144 divisors (see below), whose sum is σ = 2782904802048. Its totient is φ = 375260471040.

The previous prime is 1116831176017. The next prime is 1116831176029. The reversal of 1116831176020 is 206711386111.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116831176029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47305539 + ... + 47329141.

It is an arithmetic number, because the mean of its divisors is an integer number (19325727792).

Almost surely, 21116831176020 is an apocalyptic number.

1116831176020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1116831176020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391452401024).

1116831176020 is an abundant number, since it is smaller than the sum of its proper divisors (1666073626028).

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

1116831176020 is a wasteful number, since it uses less digits than its factorization.

1116831176020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24590 (or 24581 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 37.

The spelling of 1116831176020 in words is "one trillion, one hundred sixteen billion, eight hundred thirty-one million, one hundred seventy-six thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 53 70 98 106 140 196 212 245 265 371 490 530 742 911 980 1060 1484 1822 1855 2597 3644 3710 4555 5194 6377 7420 9110 10388 12754 12985 18220 23603 25508 25970 31885 44639 47206 48283 51940 63770 89278 94412 96566 118015 127540 165221 178556 193132 223195 236030 241415 330442 337981 446390 472060 482830 660884 675962 826105 892780 965660 1156547 1250959 1351924 1652210 1689905 2313094 2365867 2501918 3304420 3379810 4626188 4731734 5003836 5782735 6254795 6759620 8756713 9463468 11565470 11829335 12509590 17513426 21502333 23130940 23658670 25019180 35026852 43004666 43783565 47317340 61296991 86009332 87567130 107511665 122593982 150516331 175134260 215023330 245187964 301032662 306484955 430046660 602065324 612969910 752581655 1053614317 1139623649 1225939820 1505163310 2107228634 2279247298 3010326620 4214457268 4558494596 5268071585 5698118245 7977365543 10536143170 11396236490 15954731086 21072286340 22792472980 31909462172 39886827715 55841558801 79773655430 111683117602 159547310860 223366235204 279207794005 558415588010 1116831176020