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69313199076 = 223211239892
BaseRepresentation
bin100000010001101100…
…0110111101111100100
320121220120000100010100
41000203120313233210
52113423134332301
651501514224100
75002434320412
oct1004330675744
9217816010110
1069313199076
1127439548400
1211524a25030
1366c8079c84
1434d77162b2
151c0a199286
hex1023637be4

69313199076 has 81 divisors (see below), whose sum is σ = 192632691433. Its totient is φ = 20998734240.

The previous prime is 69313199063. The next prime is 69313199113. The reversal of 69313199076 is 67099131396.

The square root of 69313199076 is 263274.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 32679239076 + 36633960000 = 180774^2 + 191400^2 .

It is a super-2 number, since 2×693131990762 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17374090 + ... + 17378078.

Almost surely, 269313199076 is an apocalyptic number.

69313199076 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

69313199076 is the 263274-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69313199076

69313199076 is an abundant number, since it is smaller than the sum of its proper divisors (123319492357).

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

69313199076 is a wasteful number, since it uses less digits than its factorization.

69313199076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8010 (or 4005 counting only the distinct ones).

The product of its (nonzero) digits is 1653372, while the sum is 54.

The spelling of 69313199076 in words is "sixty-nine billion, three hundred thirteen million, one hundred ninety-nine thousand, seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 3989 4356 7978 11967 15956 23934 35901 43879 47868 71802 87758 131637 143604 175516 263274 394911 482669 526548 789822 965338 1448007 1579644 1930676 2896014 4344021 5792028 8688042 15912121 17376084 31824242 47736363 63648484 95472726 143209089 175033331 190945452 286418178 350066662 525099993 572836356 700133324 1050199986 1575299979 1925366641 2100399972 3150599958 3850733282 5776099923 6301199916 7701466564 11552199846 17328299769 23104399692 34656599538 69313199076