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3697369056 = 253219964513
BaseRepresentation
bin1101110001100001…
…0101111111100000
3100112200020210211200
43130120111333200
530033011302211
61410515241200
7160424055423
oct33430257740
910480223750
103697369056
111628083107
128722a9200
1346c012254
142710979ba
151698e6b56
hexdc615fe0

3697369056 has 72 divisors (see below), whose sum is σ = 10567393200. Its totient is φ = 1226244096.

The previous prime is 3697369019. The next prime is 3697369099. The reversal of 3697369056 is 6509637963.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×36973690562 = 27341075872532662272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3697368993 and 3697369011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25056 + ... + 89568.

It is an arithmetic number, because the mean of its divisors is an integer number (146769350).

Almost surely, 23697369056 is an apocalyptic number.

3697369056 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 3697369056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5283696600).

3697369056 is an abundant number, since it is smaller than the sum of its proper divisors (6870024144).

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

3697369056 is a wasteful number, since it uses less digits than its factorization.

3697369056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64728 (or 64717 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 54.

The square root of 3697369056 is about 60805.9952307336. The cubic root of 3697369056 is about 1546.3136895984.

The spelling of 3697369056 in words is "three billion, six hundred ninety-seven million, three hundred sixty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 199 288 398 597 796 1194 1592 1791 2388 3184 3582 4776 6368 7164 9552 14328 19104 28656 57312 64513 129026 193539 258052 387078 516104 580617 774156 1032208 1161234 1548312 2064416 2322468 3096624 4644936 6193248 9289872 12838087 18579744 25676174 38514261 51352348 77028522 102704696 115542783 154057044 205409392 231085566 308114088 410818784 462171132 616228176 924342264 1232456352 1848684528 3697369056