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45352012120 = 23573113137447
BaseRepresentation
bin101010001111001100…
…001100100101011000
311100001122210220220121
4222033030030211120
51220340103341440
632500123003024
73163602512452
oct521714144530
9140048726817
1045352012120
1118263034a58
128958369474
134379b2013c
1422a33012d2
1512a67c334a
hexa8f30c958

45352012120 has 64 divisors (see below), whose sum is σ = 104356019520. Its totient is φ = 17733832704.

The previous prime is 45352012093. The next prime is 45352012177. The reversal of 45352012120 is 2121025354.

It is a congruent number.

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, 261237 + ... + 398683.

It is an arithmetic number, because the mean of its divisors is an integer number (1630562805).

Almost surely, 245352012120 is an apocalyptic number.

45352012120 is a gapful number since it is divisible by the number (40) 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 45352012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52178009760).

45352012120 is an abundant number, since it is smaller than the sum of its proper divisors (59004007400).

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

45352012120 is a wasteful number, since it uses less digits than its factorization.

45352012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137644 (or 137640 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 45352012120 its reverse (2121025354), we get a palindrome (47473037474).

The spelling of 45352012120 in words is "forty-five billion, three hundred fifty-two million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 113 146 226 292 365 452 565 584 730 904 1130 1460 2260 2920 4520 8249 16498 32996 41245 65992 82490 137447 164980 274894 329960 549788 687235 1099576 1374470 2748940 5497880 10033631 15531511 20067262 31063022 40134524 50168155 62126044 77657555 80269048 100336310 124252088 155315110 200672620 310630220 401345240 621260440 1133800303 2267600606 4535201212 5669001515 9070402424 11338003030 22676006060 45352012120