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13375437012 = 2234712974547
BaseRepresentation
bin11000111010011110…
…01111100011010100
31021112011020121020000
430131033033203110
5204343102441022
610051122011300
7652312224120
oct143517174324
937464217200
1013375437012
1157440a3883
1227134a6b30
1313520c2c92
1490c578580
155343b26ac
hex31d3cf8d4

13375437012 has 120 divisors (see below), whose sum is σ = 40000787904. Its totient is φ = 3817767168.

The previous prime is 13375437007. The next prime is 13375437013. The reversal of 13375437012 is 21073457331.

13375437012 is a `hidden beast` number, since 1 + 3 + 37 + 543 + 70 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13375437013) 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 39 ways as a sum of consecutive naturals, for example, 2939323 + ... + 2943869.

Almost surely, 213375437012 is an apocalyptic number.

13375437012 is a gapful number since it is divisible by the number (12) 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 13375437012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20000393952).

13375437012 is an abundant number, since it is smaller than the sum of its proper divisors (26625350892).

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

13375437012 is a wasteful number, since it uses less digits than its factorization.

13375437012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5867 (or 5856 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 13375437012 in words is "thirteen billion, three hundred seventy-five million, four hundred thirty-seven thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 1297 2268 2594 3891 4547 5188 7782 9079 9094 11673 13641 15564 18158 18188 23346 27237 27282 31829 35019 36316 40923 46692 54474 54564 63658 70038 81711 81846 95487 105057 108948 122769 127316 140076 163422 163692 190974 210114 245133 245538 286461 326844 368307 381948 420228 490266 491076 572922 735399 736614 859383 980532 1145844 1470798 1473228 1718766 2578149 2941596 3437532 5156298 5897459 10312596 11794918 17692377 23589836 35384754 41282213 53077131 70769508 82564426 106154262 123846639 159231393 165128852 212308524 247693278 318462786 371539917 477694179 495386556 636925572 743079834 955388358 1114619751 1486159668 1910776716 2229239502 3343859253 4458479004 6687718506 13375437012