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13504541388 = 22313594633169
BaseRepresentation
bin11001001001110111…
…01111001011001100
31021212011011210010120
430210323233023030
5210124130311023
610112013104540
7655440464532
oct144473571314
937764153116
1013504541388
1157aaa63908
12274a788150
131372a86bc0
14921784152
155408b58e3
hex324eef2cc

13504541388 has 96 divisors (see below), whose sum is σ = 34595097600. Its totient is φ = 4074706944.

The previous prime is 13504541387. The next prime is 13504541437. The reversal of 13504541388 is 88314540531.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13504541387) 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 31 ways as a sum of consecutive naturals, for example, 4259868 + ... + 4263036.

It is an arithmetic number, because the mean of its divisors is an integer number (360365600).

Almost surely, 213504541388 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 13504541388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17297548800).

13504541388 is an abundant number, since it is smaller than the sum of its proper divisors (21090556212).

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

13504541388 is a wasteful number, since it uses less digits than its factorization.

13504541388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3711 (or 3709 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 13504541388 in words is "thirteen billion, five hundred four million, five hundred forty-one thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 59 78 118 156 177 236 354 463 708 767 926 1389 1534 1852 2301 2778 3068 3169 4602 5556 6019 6338 9204 9507 12038 12676 18057 19014 24076 27317 36114 38028 41197 54634 72228 81951 82394 109268 123591 163902 164788 186971 247182 327804 355121 373942 494364 560913 710242 747884 1065363 1121826 1420484 1467247 2130726 2243652 2430623 2934494 4261452 4401741 4861246 5868988 7291869 8803482 9722492 14583738 17606964 19074211 29167476 38148422 57222633 76296844 86567573 114445266 173135146 228890532 259702719 346270292 519405438 1038810876 1125378449 2250756898 3376135347 4501513796 6752270694 13504541388