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681848199081 = 36721722572
BaseRepresentation
bin10011110110000010101…
…00011101011110101001
32102011222011200101000000
421323001110131132221
542132411114332311
61241123045133213
7100155556031100
oct11730124353651
92364864611000
10681848199081
11243196594a35
12b01916ba209
134c3b4959b3a
1425004681037
1512b0a716056
hex9ec151d7a9

681848199081 has 189 divisors, whose sum is σ = 1268214668949. Its totient is φ = 365281394688.

The previous prime is 681848199059. The next prime is 681848199103. The reversal of 681848199081 is 180991848186.

The square root of 681848199081 is 825741.

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

681848199081 is a `hidden beast` number, since 68 + 1 + 8 + 481 + 9 + 90 + 8 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (681848199059) and next prime (681848199103).

It can be written as a sum of positive squares in 4 ways, for example, as 455005560681 + 226842638400 = 674541^2 + 476280^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 681848199081 - 27 = 681848198953 is a prime.

It is a super-3 number, since 3×6818481990813 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (681848199041) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 2653105705 + ... + 2653105961.

Almost surely, 2681848199081 is an apocalyptic number.

681848199081 is the 825741-st square number.

681848199081 is the 412871-st centered octagonal number.

It is an amenable number.

681848199081 is a deficient number, since it is larger than the sum of its proper divisors (586366469868).

681848199081 is an frugal number, since it uses more digits than its factorization.

681848199081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 63.

The spelling of 681848199081 in words is "six hundred eighty-one billion, eight hundred forty-eight million, one hundred ninety-nine thousand, eighty-one".