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10746342295050 = 2352378292335679
BaseRepresentation
bin1001110001100001001111…
…1010100100011000001010
31102001100012001221011021110
42130120103322210120022
52402032002111420200
634504445042351150
72156253244233615
oct234302372443012
942040161834243
1010746342295050
11347355308390a
12125686835b4b6
135cc4b662c90b
142921a907317c
1513980c6d0b50
hex9c613ea460a

10746342295050 has 96 divisors (see below), whose sum is σ = 27404253158400. Its totient is φ = 2784875592960.

The previous prime is 10746342295049. The next prime is 10746342295057. The reversal of 10746342295050 is 5059224364701.

It is not an unprimeable number, because it can be changed into a prime (10746342295057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3433111 + ... + 5768789.

It is an arithmetic number, because the mean of its divisors is an integer number (285460970400).

Almost surely, 210746342295050 is an apocalyptic number.

10746342295050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10746342295050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13702126579200).

10746342295050 is an abundant number, since it is smaller than the sum of its proper divisors (16657910863350).

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

10746342295050 is a wasteful number, since it uses less digits than its factorization.

10746342295050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336560 (or 2336555 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 10746342295050 in words is "ten trillion, seven hundred forty-six billion, three hundred forty-two million, two hundred ninety-five thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 50 74 75 111 150 185 222 370 555 829 925 1110 1658 1850 2487 2775 4145 4974 5550 8290 12435 20725 24870 30673 41450 61346 62175 92019 124350 153365 184038 306730 460095 766825 920190 1533650 2300475 2335679 4600950 4671358 7007037 11678395 14014074 23356790 35035185 58391975 70070370 86420123 116783950 172840246 175175925 259260369 350351850 432100615 518520738 864201230 1296301845 1936277891 2160503075 2592603690 3872555782 4321006150 5808833673 6481509225 9681389455 11617667346 12963018450 19362778910 29044168365 48406947275 58088336730 71642281967 96813894550 143284563934 145220841825 214926845901 290441683650 358211409835 429853691802 716422819670 1074634229505 1791057049175 2149268459010 3582114098350 5373171147525 10746342295050