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2769212740068 = 22322323141114407
BaseRepresentation
bin101000010011000001111…
…100010001000111100100
3100210201211012022201222100
4220103001330101013210
5330332321430140233
65520054143332100
7404032446625545
oct50230174210744
910721735281870
102769212740068
11978464442505
123888378b1030
1317119c006878
149805ddda4cc
154c0784d8813
hex284c1f111e4

2769212740068 has 216 divisors, whose sum is σ = 7737883485696. Its totient is φ = 833607878400.

The previous prime is 2769212740013. The next prime is 2769212740093. The reversal of 2769212740068 is 8600472129672.

2769212740068 is a `hidden beast` number, since 2 + 76 + 92 + 1 + 27 + 400 + 68 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2769212739996 and 2769212740023.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24147721 + ... + 24262127.

It is an arithmetic number, because the mean of its divisors is an integer number (35823534656).

Almost surely, 22769212740068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2769212740068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868941742848).

2769212740068 is an abundant number, since it is smaller than the sum of its proper divisors (4968670745628).

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

2769212740068 is a wasteful number, since it uses less digits than its factorization.

2769212740068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114535 (or 114507 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 2769212740068 in words is "two trillion, seven hundred sixty-nine billion, two hundred twelve million, seven hundred forty thousand, sixty-eight".