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13737371004 = 22327467116731
BaseRepresentation
bin11001100101100111…
…11010010101111100
31022110101021202022200
430302303322111330
5211113231333004
610151051311500
7664265504220
oct146263722574
938411252280
1013737371004
11590a42a185
1227b474b590
1313ac0970c6
14944670780
15556057239
hex332cfa57c

13737371004 has 72 divisors (see below), whose sum is σ = 39771059328. Its totient is φ = 3916524960.

The previous prime is 13737371003. The next prime is 13737371009. The reversal of 13737371004 is 40017373731.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13737371004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13737371003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59319 + ... + 176049.

It is an arithmetic number, because the mean of its divisors is an integer number (552375824).

Almost surely, 213737371004 is an apocalyptic number.

13737371004 is a gapful number since it is divisible by the number (14) 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 13737371004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19885529664).

13737371004 is an abundant number, since it is smaller than the sum of its proper divisors (26033688324).

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

13737371004 is a wasteful number, since it uses less digits than its factorization.

13737371004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117215 (or 117210 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 36.

The spelling of 13737371004 in words is "thirteen billion, seven hundred thirty-seven million, three hundred seventy-one thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 467 934 1401 1868 2802 3269 4203 5604 6538 8406 9807 13076 16812 19614 29421 39228 58842 116731 117684 233462 350193 466924 700386 817117 1050579 1400772 1634234 2101158 2451351 3268468 4202316 4902702 7354053 9805404 14708106 29416212 54513377 109026754 163540131 218053508 327080262 381593639 490620393 654160524 763187278 981240786 1144780917 1526374556 1962481572 2289561834 3434342751 4579123668 6868685502 13737371004