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11753743134 = 2376710194099
BaseRepresentation
bin10101111001001001…
…11110001100011110
31010100010202000102210
422330210332030132
5143032424240014
65222151301250
7564161111460
oct127444761436
933303660383
1011753743134
114a91755201
12234037a826
131154132ac3
147d7038130
1548bd2a859
hex2bc93e31e

11753743134 has 64 divisors (see below), whose sum is σ = 27300096000. Its totient is φ = 3304037088.

The previous prime is 11753743097. The next prime is 11753743147. The reversal of 11753743134 is 43134735711.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11753743092 and 11753743101.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2865417 + ... + 2869515.

It is an arithmetic number, because the mean of its divisors is an integer number (426564000).

Almost surely, 211753743134 is an apocalyptic number.

11753743134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11753743134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13650048000).

11753743134 is an abundant number, since it is smaller than the sum of its proper divisors (15546352866).

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

11753743134 is a wasteful number, since it uses less digits than its factorization.

11753743134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5197.

The product of its digits is 105840, while the sum is 39.

The spelling of 11753743134 in words is "eleven billion, seven hundred fifty-three million, seven hundred forty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 67 134 201 402 469 938 1019 1407 2038 2814 3057 4099 6114 7133 8198 12297 14266 21399 24594 28693 42798 57386 68273 86079 136546 172158 204819 274633 409638 477911 549266 823899 955822 1433733 1647798 1922431 2867466 3844862 4176881 5767293 8353762 11534586 12530643 25061286 29238167 58476334 87714501 175429002 279851027 559702054 839553081 1679106162 1958957189 3917914378 5876871567 11753743134