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69089768064 = 273259973757
BaseRepresentation
bin100000001011000010…
…0100011001010000000
320121022222120212101200
41000112010203022000
52112443440034224
651423413301200
74664052224142
oct1002604431200
9217288525350
1069089768064
1127334411379
1211482034800
1366909aa985
1434b5b94c92
151be57625c9
hex1016123280

69089768064 has 48 divisors (see below), whose sum is σ = 198813007770. Its totient is φ = 23029922304.

The previous prime is 69089768029. The next prime is 69089768071. The reversal of 69089768064 is 46086798096.

It can be written as a sum of positive squares in only one way, i.e., 44940608064 + 24149160000 = 211992^2 + 155400^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×690897680642 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 69089767992 and 69089768010.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29985727 + ... + 29988030.

Almost surely, 269089768064 is an apocalyptic number.

69089768064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

69089768064 is an abundant number, since it is smaller than the sum of its proper divisors (129723239706).

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

69089768064 is a wasteful number, since it uses less digits than its factorization.

69089768064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59973777 (or 59973762 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 69089768064 in words is "sixty-nine billion, eighty-nine million, seven hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 59973757 119947514 179921271 239895028 359842542 479790056 539763813 719685084 959580112 1079527626 1439370168 1919160224 2159055252 2878740336 3838320448 4318110504 5757480672 7676640896 8636221008 11514961344 17272442016 23029922688 34544884032 69089768064