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10761719814 = 23217194739383
BaseRepresentation
bin10100000010111001…
…01101000000000110
31000210000002000021100
422001130231000012
5134020000013224
64535513000530
7530454052266
oct120134550006
930700060240
1010761719814
11462278a41a
1221040b3146
131026759561
147413a57a6
1542ebc2ac9
hex28172d006

10761719814 has 96 divisors (see below), whose sum is σ = 26541665280. Its totient is φ = 3130396416.

The previous prime is 10761719809. The next prime is 10761719827. The reversal of 10761719814 is 41891716701.

10761719814 is a `hidden beast` number, since 1 + 0 + 7 + 617 + 19 + 8 + 14 = 666.

It is a super-2 number, since 2×107617198142 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10761719814.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253567 + ... + 292949.

It is an arithmetic number, because the mean of its divisors is an integer number (276475680).

Almost surely, 210761719814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10761719814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13270832640).

10761719814 is an abundant number, since it is smaller than the sum of its proper divisors (15779945466).

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

10761719814 is a wasteful number, since it uses less digits than its factorization.

10761719814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39474 (or 39471 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The spelling of 10761719814 in words is "ten billion, seven hundred sixty-one million, seven hundred nineteen thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 17 18 19 34 38 47 51 57 94 102 114 141 153 171 282 306 323 342 423 646 799 846 893 969 1598 1786 1938 2397 2679 2907 4794 5358 5814 7191 8037 14382 15181 16074 30362 39383 45543 78766 91086 118149 136629 236298 273258 354447 669511 708894 748277 1339022 1496554 1851001 2008533 2244831 3702002 4017066 4489662 5553003 6025599 6734493 11106006 12051198 12720709 13468986 16659009 25441418 31467017 33318018 35169019 38162127 62934034 70338038 76324254 94401051 105507057 114486381 188802102 211014114 228972762 283203153 316521171 566406306 597873323 633042342 1195746646 1793619969 3587239938 5380859907 10761719814