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135778203400360 = 23550915497430333
BaseRepresentation
bin11110110111110101010011…
…100101001111100010101000
3122210202021021110010011112111
4132313311103211033202220
5120244042230032302420
61200435351234052104
740412436312216133
oct3667652345174250
9583667243104474
10135778203400360
113a2992380a8574
121328a88571a034
135a9baa294ba81
1425759b315521a
1510a6d8175a45a
hex7b7d5394f8a8

135778203400360 has 64 divisors (see below), whose sum is σ = 306121619638800. Its totient is φ = 54200955734016.

The previous prime is 135778203400337. The next prime is 135778203400379. The reversal of 135778203400360 is 63004302877531.

It can be written as a sum of positive squares in 8 ways, for example, as 79562368211076 + 56215835189284 = 8919774^2 + 7497722^2 .

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, 315303754 + ... + 315734086.

Almost surely, 2135778203400360 is an apocalyptic number.

135778203400360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135778203400360 is an abundant number, since it is smaller than the sum of its proper divisors (170343416238440).

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

135778203400360 is a wasteful number, since it uses less digits than its factorization.

135778203400360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446350 (or 446346 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 49.

The spelling of 135778203400360 in words is "one hundred thirty-five trillion, seven hundred seventy-eight billion, two hundred three million, four hundred thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 509 1018 2036 2545 4072 5090 10180 15497 20360 30994 61988 77485 123976 154970 309940 430333 619880 860666 1721332 2151665 3442664 4303330 7887973 8606660 15775946 17213320 31551892 39439865 63103784 78879730 157759460 219039497 315518920 438078994 876157988 1095197485 1752315976 2190394970 4380789940 6668870501 8761579880 13337741002 26675482004 33344352505 53350964008 66688705010 133377410020 266754820040 3394455085009 6788910170018 13577820340036 16972275425045 27155640680072 33944550850090 67889101700180 135778203400360