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13545540234 = 23237149136501
BaseRepresentation
bin11001001110110000…
…01000101010001010
31021222000022201222100
430213120020222022
5210220124241414
610120035534230
7656446122642
oct144730105212
937860281870
1013545540234
115821116956
12276045a376
13137b410285
14926db7522
155442b3609
hex327608a8a

13545540234 has 48 divisors (see below), whose sum is σ = 30344394600. Its totient is φ = 4363632000.

The previous prime is 13545540227. The next prime is 13545540289. The reversal of 13545540234 is 43204554531.

13545540234 is a `hidden beast` number, since 135 + 455 + 40 + 2 + 34 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9653652009 + 3891888225 = 98253^2 + 62385^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30984 + ... + 167484.

Almost surely, 213545540234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13545540234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15172197300).

13545540234 is an abundant number, since it is smaller than the sum of its proper divisors (16798854366).

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

13545540234 is a wasteful number, since it uses less digits than its factorization.

13545540234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136695 (or 136692 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 13545540234 in words is "thirteen billion, five hundred forty-five million, five hundred forty thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 37 74 111 149 222 298 333 447 666 894 1341 2682 5513 11026 16539 33078 49617 99234 136501 273002 409503 819006 1228509 2457018 5050537 10101074 15151611 20338649 30303222 40677298 45454833 61015947 90909666 122031894 183047841 366095682 752530013 1505060026 2257590039 4515180078 6772770117 13545540234