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13554316314 = 23271136726647
BaseRepresentation
bin11001001111110011…
…00111010000011010
31021222121211121111100
430213321213100122
5210224401110224
610120552012230
7656613534120
oct144771472032
937877747440
1013554316314
115826070510
122763391076
131380193a16
1492821d910
15544e48ac9
hex327e6741a

13554316314 has 96 divisors (see below), whose sum is σ = 36715401216. Its totient is φ = 3510876960.

The previous prime is 13554316309. The next prime is 13554316333. The reversal of 13554316314 is 41361345531.

13554316314 is a `hidden beast` number, since 1 + 3 + 554 + 31 + 63 + 14 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 495339 + ... + 521985.

It is an arithmetic number, because the mean of its divisors is an integer number (382452096).

Almost surely, 213554316314 is an apocalyptic number.

13554316314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13554316314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18357700608).

13554316314 is an abundant number, since it is smaller than the sum of its proper divisors (23161084902).

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

13554316314 is a wasteful number, since it uses less digits than its factorization.

13554316314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27040 (or 27037 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The spelling of 13554316314 in words is "thirteen billion, five hundred fifty-four million, three hundred sixteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 367 462 693 734 1101 1386 2202 2569 3303 4037 5138 6606 7707 8074 12111 15414 23121 24222 26647 28259 36333 46242 53294 56518 72666 79941 84777 159882 169554 186529 239823 254331 293117 373058 479646 508662 559587 586234 879351 1119174 1678761 1758702 2051819 2638053 3357522 4103638 5276106 6155457 9779449 12310914 18466371 19558898 29338347 36932742 58676694 68456143 88015041 107573939 136912286 176030082 205368429 215147878 322721817 410736858 616105287 645443634 753017573 968165451 1232210574 1506035146 1936330902 2259052719 4518105438 6777158157 13554316314