Search a number
-
+
1161510101616 = 2431011042922973
BaseRepresentation
bin10000111001101111011…
…001011010001001110000
311010001001122011200110110
4100321233121122021300
5123012233041222431
62245331304301320
7146626205651604
oct20715731321160
94101048150413
101161510101616
11408659198817
12169137471840
13856b73535c7
144030872d504
1520330a96346
hex10e6f65a270

1161510101616 has 80 divisors (see below), whose sum is σ = 3030698835360. Its totient is φ = 383283225600.

The previous prime is 1161510101497. The next prime is 1161510101617. The reversal of 1161510101616 is 6161010151611.

It is a super-2 number, since 2×11615101016162 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1161510101617) 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, 50548306 + ... + 50571278.

It is an arithmetic number, because the mean of its divisors is an integer number (37883735442).

Almost surely, 21161510101616 is an apocalyptic number.

1161510101616 is a gapful number since it is divisible by the number (16) 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 1161510101616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515349417680).

1161510101616 is an abundant number, since it is smaller than the sum of its proper divisors (1869188733744).

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

1161510101616 is a wasteful number, since it uses less digits than its factorization.

1161510101616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33514 (or 33508 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 30.

The spelling of 1161510101616 in words is "one trillion, one hundred sixty-one billion, five hundred ten million, one hundred one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1212 1616 2424 4848 10429 20858 22973 31287 41716 45946 62574 68919 83432 91892 125148 137838 166864 183784 250296 275676 367568 500592 551352 1053329 1102704 2106658 2320273 3159987 4213316 4640546 6319974 6960819 8426632 9281092 12639948 13921638 16853264 18562184 25279896 27843276 37124368 50559792 55686552 111373104 239585417 479170834 718756251 958341668 1437512502 1916683336 2875025004 3833366672 5750050008 11500100016 24198127117 48396254234 72594381351 96792508468 145188762702 193585016936 290377525404 387170033872 580755050808 1161510101616