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45052275340 = 22523673733919
BaseRepresentation
bin101001111101010100…
…110010101010001100
311022021202210201100101
4221331110302222030
51214231340302330
632410254340444
73153303010342
oct517524625214
9138252721311
1045052275340
1118119920306
128893aba724
13432c9b50b7
142275599992
15128a3174ca
hexa7d532a8c

45052275340 has 96 divisors (see below), whose sum is σ = 100490987520. Its totient is φ = 16930273536.

The previous prime is 45052275337. The next prime is 45052275403. The reversal of 45052275340 is 4357225054.

45052275340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×450522753402 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45052275340.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11493901 + ... + 11497819.

It is an arithmetic number, because the mean of its divisors is an integer number (1046781120).

Almost surely, 245052275340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45052275340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50245493760).

45052275340 is an abundant number, since it is smaller than the sum of its proper divisors (55438712180).

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

45052275340 is a wasteful number, since it uses less digits than its factorization.

45052275340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4391 (or 4389 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 37.

The spelling of 45052275340 in words is "forty-five billion, fifty-two million, two hundred seventy-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 67 92 115 134 230 268 335 373 460 670 746 1340 1492 1541 1865 3082 3730 3919 6164 7460 7705 7838 8579 15410 15676 17158 19595 24991 30820 34316 39190 42895 49982 78380 85790 90137 99964 124955 171580 180274 249910 262573 360548 450685 499820 525146 574793 901370 1050292 1149586 1312865 1461787 1802740 2299172 2625730 2873965 2923574 5251460 5747930 5847148 6039179 7308935 11495860 12078358 14617870 24156716 29235740 30195895 33621101 60391790 67242202 97939729 120783580 134484404 168105505 195879458 336211010 391758916 489698645 672422020 979397290 1958794580 2252613767 4505227534 9010455068 11263068835 22526137670 45052275340