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23661155116632 = 23311199450379837
BaseRepresentation
bin1010110000101000010101…
…01111101110011001011000
310002202222120120201122110210
411120110022233232121120
511100131021202213012
6122153441250211120
74661314324032465
oct530241257563130
9102688516648423
1023661155116632
1175a2704244610
1227a1834b83aa0
131028311609287
145bb2c545666c
152b07332bc23c
hex15850abee658

23661155116632 has 64 divisors (see below), whose sum is σ = 64854696672000. Its totient is φ = 7134016602240.

The previous prime is 23661155116619. The next prime is 23661155116639.

23661155116632 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×236611551166322 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23661155116639) 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, 225137383 + ... + 225242454.

It is an arithmetic number, because the mean of its divisors is an integer number (1013354635500).

Almost surely, 223661155116632 is an apocalyptic number.

23661155116632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23661155116632 is an abundant number, since it is smaller than the sum of its proper divisors (41193541555368).

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

23661155116632 is a wasteful number, since it uses less digits than its factorization.

23661155116632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450380056 (or 450380052 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 48.

The spelling of 23661155116632 in words is "twenty-three trillion, six hundred sixty-one billion, one hundred fifty-five million, one hundred sixteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 199 264 398 597 796 1194 1592 2189 2388 4378 4776 6567 8756 13134 17512 26268 52536 450379837 900759674 1351139511 1801519348 2702279022 3603038696 4954178207 5404558044 9908356414 10809116088 14862534621 19816712828 29725069242 39633425656 59450138484 89625587563 118900276968 179251175126 268876762689 358502350252 537753525378 717004700504 985881463193 1075507050756 1971762926386 2151014101512 2957644389579 3943525852772 5915288779158 7887051705544 11830577558316 23661155116632