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13816194528 = 2532413731601
BaseRepresentation
bin11001101111000001…
…00110010111100000
31022122212121101212110
430313200212113200
5211243421211103
610202544555320
7666243500343
oct146740462740
938585541773
1013816194528
11594a977494
122817022b40
1313c2504b46
14950d0c45a
1555ce27403
hex3378265e0

13816194528 has 96 divisors (see below), whose sum is σ = 36538441632. Its totient is φ = 4571136000.

The previous prime is 13816194503. The next prime is 13816194541. The reversal of 13816194528 is 82549161831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8628928 + ... + 8630528.

It is an arithmetic number, because the mean of its divisors is an integer number (380608767).

Almost surely, 213816194528 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 13816194528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18269220816).

13816194528 is an abundant number, since it is smaller than the sum of its proper divisors (22722247104).

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

13816194528 is a wasteful number, since it uses less digits than its factorization.

13816194528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 2220 counting only the distinct ones).

The product of its digits is 414720, while the sum is 48.

The spelling of 13816194528 in words is "thirteen billion, eight hundred sixteen million, one hundred ninety-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 241 373 482 723 746 964 1119 1446 1492 1601 1928 2238 2892 2984 3202 3856 4476 4803 5784 5968 6404 7712 8952 9606 11568 11936 12808 17904 19212 23136 25616 35808 38424 51232 76848 89893 153696 179786 269679 359572 385841 539358 597173 719144 771682 1078716 1157523 1194346 1438288 1543364 1791519 2157432 2315046 2388692 2876576 3086728 3583038 4314864 4630092 4777384 6173456 7166076 8629728 9260184 9554768 12346912 14332152 18520368 19109536 28664304 37040736 57328608 143918693 287837386 431756079 575674772 863512158 1151349544 1727024316 2302699088 3454048632 4605398176 6908097264 13816194528