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236381440197136 = 24139719136124397
BaseRepresentation
bin110101101111110011010111…
…110001100100001000010000
31010222221211210222220001202111
4311233303113301210020100
5221440333142142302021
62154424045014555104
7100534665306503623
oct6557632761441020
91128854728801674
10236381440197136
11693558955a35a3
1222618382068a94
13a1b889c1a5580
144252ccc053dba
151c4dc551138e1
hexd6fcd7c64210

236381440197136 has 80 divisors (see below), whose sum is σ = 498564262438704. Its totient is φ = 107917932920832.

The previous prime is 236381440197107. The next prime is 236381440197167. The reversal of 236381440197136 is 631791044183632.

236381440197136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 28709707124736 + 207671733072400 = 5358144^2 + 14410820^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35534490 + ... + 41658886.

Almost surely, 2236381440197136 is an apocalyptic number.

236381440197136 is a gapful number since it is divisible by the number (26) 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 236381440197136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249282131219352).

236381440197136 is an abundant number, since it is smaller than the sum of its proper divisors (262182822241568).

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

236381440197136 is a wasteful number, since it uses less digits than its factorization.

236381440197136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6126428 (or 6126422 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 58.

The spelling of 236381440197136 in words is "two hundred thirty-six trillion, three hundred eighty-one billion, four hundred forty million, one hundred ninety-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 97 104 194 208 388 776 1261 1552 1913 2522 3826 5044 7652 10088 15304 20176 24869 30608 49738 99476 185561 198952 371122 397904 742244 1484488 2412293 2968976 4824586 6124397 9649172 12248794 19298344 24497588 38596688 48995176 79617161 97990352 159234322 318468644 594066509 636937288 1188133018 1273874576 2376266036 4752532072 7722864617 9505064144 11715971461 15445729234 23431942922 30891458468 46863885844 61782916936 93727771688 123565833872 152307628993 187455543376 304615257986 609230515972 1136449231717 1218461031944 2272898463434 2436922063888 4545796926868 9091593853736 14773840012321 18183187707472 29547680024642 59095360049284 118190720098568 236381440197136