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3820145441877 = 32899661493657
BaseRepresentation
bin110111100101110010011…
…010010111110001010101
3111112012110111121111102200
4313211302122113301111
51000042124213120002
612042541154355113
7542665523326602
oct67456232276125
914465414544380
103820145441877
111243129569096
12518452b8ba99
1321931334848b
14d2c789a36a9
1569586430b1c
hex37972697c55

3820145441877 has 24 divisors (see below), whose sum is σ = 5580576607320. Its totient is φ = 2517882554880.

The previous prime is 3820145441873. The next prime is 3820145441899. The reversal of 3820145441877 is 7781445410283.

3820145441877 is a `hidden beast` number, since 3 + 8 + 2 + 0 + 1 + 454 + 4 + 187 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 592952361156 + 3227193080721 = 770034^2 + 1796439^2 .

It is not a de Polignac number, because 3820145441877 - 22 = 3820145441873 is a prime.

It is a super-2 number, since 2×38201454418772 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3820145441873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7491633 + ... + 7985289.

It is an arithmetic number, because the mean of its divisors is an integer number (232524025305).

Almost surely, 23820145441877 is an apocalyptic number.

It is an amenable number.

3820145441877 is a deficient number, since it is larger than the sum of its proper divisors (1760431165443).

3820145441877 is a wasteful number, since it uses less digits than its factorization.

3820145441877 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503413 (or 503410 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 3820145441877 in words is "three trillion, eight hundred twenty billion, one hundred forty-five million, four hundred forty-one thousand, eight hundred seventy-seven".

Divisors: 1 3 9 89 267 801 9661 28983 86949 493657 859829 1480971 2579487 4442913 7738461 43935473 131806419 395419257 4769220277 14307660831 42922982493 424460604653 1273381813959 3820145441877