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3699804816 = 243319943037
BaseRepresentation
bin1101110010000110…
…1000101010010000
3100112211211120002000
43130201220222100
530034122223231
61411043354000
7160453551651
oct33441505220
910484746060
103699804816
111629497134
12873082900
1346c685b26
1427152d528
15169c286e6
hexdc868a90

3699804816 has 80 divisors (see below), whose sum is σ = 10673424000. Its totient is φ = 1227042432.

The previous prime is 3699804803. The next prime is 3699804859. The reversal of 3699804816 is 6184089963.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64450 + ... + 107486.

It is an arithmetic number, because the mean of its divisors is an integer number (133417800).

Almost surely, 23699804816 is an apocalyptic number.

3699804816 is a gapful number since it is divisible by the number (36) 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 3699804816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5336712000).

3699804816 is an abundant number, since it is smaller than the sum of its proper divisors (6973619184).

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

3699804816 is a wasteful number, since it uses less digits than its factorization.

3699804816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43253 (or 43241 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 3699804816 is about 60826.0208792257. The cubic root of 3699804816 is about 1546.6531762431.

The spelling of 3699804816 in words is "three billion, six hundred ninety-nine million, eight hundred four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 199 216 398 432 597 796 1194 1592 1791 2388 3184 3582 4776 5373 7164 9552 10746 14328 21492 28656 42984 43037 85968 86074 129111 172148 258222 344296 387333 516444 688592 774666 1032888 1161999 1549332 2065776 2323998 3098664 4647996 6197328 8564363 9295992 17128726 18591984 25693089 34257452 51386178 68514904 77079267 102772356 137029808 154158534 205544712 231237801 308317068 411089424 462475602 616634136 924951204 1233268272 1849902408 3699804816