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834465807081 = 3623214712
BaseRepresentation
bin11000010010010100000…
…10011011101011101001
32221202220100122011000000
430021022002123223221
5102132441221311311
61435203122133213
7114200561220414
oct14111202335351
92852810564000
10834465807081
112a1993214785
12115884ab1209
13608c760596a
142c561938b7b
1516a8e003056
hexc24a09bae9

834465807081 has 63 divisors (see below), whose sum is σ = 1308777971277. Its totient is φ = 531761380920.

The previous prime is 834465807079. The next prime is 834465807089. The reversal of 834465807081 is 180708564438.

The square root of 834465807081 is 913491.

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

834465807081 is a `hidden beast` number, since 8 + 3 + 446 + 58 + 0 + 70 + 81 = 666.

It is not a de Polignac number, because 834465807081 - 21 = 834465807079 is a prime.

It is a super-2 number, since 2×8344658070812 (a number of 25 digits) 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 not an unprimeable number, because it can be changed into a prime (834465807089) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 567277176 + ... + 567278646.

Almost surely, 2834465807081 is an apocalyptic number.

834465807081 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

834465807081 is the 913491-st square number.

834465807081 is the 456746-th centered octagonal number.

It is an amenable number.

834465807081 is a deficient number, since it is larger than the sum of its proper divisors (474312164196).

834465807081 is an frugal number, since it uses more digits than its factorization.

834465807081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3006 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 834465807081 in words is "eight hundred thirty-four billion, four hundred sixty-five million, eight hundred seven thousand, eighty-one".

Divisors: 1 3 9 23 27 69 81 207 243 529 621 729 1471 1587 1863 4413 4761 5589 13239 14283 16767 33833 39717 42849 101499 119151 128547 304497 357453 385641 778159 913491 1072359 2163841 2334477 2740473 6491523 7003431 8221419 19474569 21010293 24664257 49768343 58423707 63030879 149305029 175271121 189092637 447915087 525813363 567277911 1144671889 1343745261 1577440089 3434015667 4031235783 10302047001 12093707349 30906141003 36281122047 92718423009 278155269027 834465807081