Search a number
-
+
116552632034016 = 253445631985433
BaseRepresentation
bin11010100000000100000110…
…001110101110001011100000
3120021200022201022202101210000
4122200010012032232023200
5110234044242300042031
61051515312345140000
733356435606023623
oct3240040616561340
9507608638671700
10116552632034016
113415676a298212
12110a482078a600
135005b348c96c9
1420ad26b063dba
15d71c04c803e6
hex6a01063ae2e0

116552632034016 has 120 divisors (see below), whose sum is σ = 342785913047424. Its totient is φ = 38849986506240.

The previous prime is 116552632034011. The next prime is 116552632034077. The reversal of 116552632034016 is 610430236255611.

It is a happy number.

116552632034016 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 5 + 2 + 632 + 0 + 3 + 4 + 0 + 1 + 6 = 666.

It is a super-4 number, since 4×1165526320340164 (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116552632034011) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 117782836 + ... + 118768268.

Almost surely, 2116552632034016 is an apocalyptic number.

116552632034016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

116552632034016 is an abundant number, since it is smaller than the sum of its proper divisors (226233281013408).

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

116552632034016 is an equidigital number, since it uses as much as digits as its factorization.

116552632034016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031086 (or 1031069 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

Adding to 116552632034016 its reverse (610430236255611), we get a palindrome (726982868289627).

The spelling of 116552632034016 in words is "one hundred sixteen trillion, five hundred fifty-two billion, six hundred thirty-two million, thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 45631 91262 136893 182524 273786 365048 410679 547572 730096 821358 985433 1095144 1232037 1460192 1642716 1970866 2190288 2464074 2956299 3285432 3696111 3941732 4380576 4928148 5912598 6570864 7392222 7883464 8868897 9856296 11825196 13141728 14784444 15766928 17737794 19712592 23650392 26606691 29568888 31533856 35475588 39425184 47300784 53213382 59137776 70951176 79820073 94601568 106426764 118275552 141902352 159640146 212853528 283804704 319280292 425707056 638560584 851414112 1277121168 2554242336 44966293223 89932586446 134898879669 179865172892 269797759338 359730345784 404696639007 539595518676 719460691568 809393278014 1079191037352 1214089917021 1438921383136 1618786556028 2158382074704 2428179834042 3237573112056 3642269751063 4316764149408 4856359668084 6475146224112 7284539502126 9712719336168 12950292448224 14569079004252 19425438672336 29138158008504 38850877344672 58276316017008 116552632034016