Search a number
-
+
116519021634560 = 210537615070849
BaseRepresentation
bin11010011111100100110010…
…111001001110010000000000
3120021120002221221212012102112
4122133210302321032100000
5110233021424014301220
61051452033301434452
733354135656241056
oct3237446271162000
9507502857765375
10116519021634560
1134143492082686
121109a20070ba28
135002909552b8c
1420ab79d3201d6
15d70dd91dd5c5
hex69f932e4e400

116519021634560 has 88 divisors (see below), whose sum is σ = 287063406828600. Its totient is φ = 45347943481344.

The previous prime is 116519021634541. The next prime is 116519021634569. The reversal of 116519021634560 is 65436120915611.

It can be written as a sum of positive squares in 4 ways, for example, as 54140870370304 + 62378151264256 = 7358048^2 + 7897984^2 .

It is a super-2 number, since 2×1165190216345602 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 116519021634499 and 116519021634508.

It is not an unprimeable number, because it can be changed into a prime (116519021634569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 307345985 + ... + 307724864.

Almost surely, 2116519021634560 is an apocalyptic number.

116519021634560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116519021634560 is an abundant number, since it is smaller than the sum of its proper divisors (170544385194040).

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

116519021634560 is an equidigital number, since it uses as much as digits as its factorization.

116519021634560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615070911 (or 615070893 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 50.

The spelling of 116519021634560 in words is "one hundred sixteen trillion, five hundred nineteen billion, twenty-one million, six hundred thirty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 256 296 320 370 512 592 640 740 1024 1184 1280 1480 2368 2560 2960 4736 5120 5920 9472 11840 18944 23680 37888 47360 94720 189440 615070849 1230141698 2460283396 3075354245 4920566792 6150708490 9841133584 12301416980 19682267168 22757621413 24602833960 39364534336 45515242826 49205667920 78729068672 91030485652 98411335840 113788107065 157458137344 182060971304 196822671680 227576214130 314916274688 364121942608 393645343360 455152428260 629832549376 728243885216 787290686720 910304856520 1456487770432 1574581373440 1820609713040 2912975540864 3149162746880 3641219426080 5825951081728 7282438852160 11651902163456 14564877704320 23303804326912 29129755408640 58259510817280 116519021634560