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34799899743 = 327717779991
BaseRepresentation
bin100000011010001111…
…000101010001011111
310022211021011001222200
4200122033011101133
51032232233242433
623553054342543
72341242160440
oct403217052137
9108737131880
1034799899743
11138386aa824
1268b24baa53
133387932b6b
141981add2c7
15d8a206613
hex81a3c545f

34799899743 has 24 divisors (see below), whose sum is σ = 58256580096. Its totient is φ = 19605574800.

The previous prime is 34799899727. The next prime is 34799899781.

It is a happy number.

34799899743 is a `hidden beast` number, since 3 + 479 + 9 + 89 + 9 + 74 + 3 = 666.

34799899743 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34799899743 - 24 = 34799899727 is a prime.

It is a super-2 number, since 2×347998997432 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34799899703) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3885523 + ... + 3894468.

It is an arithmetic number, because the mean of its divisors is an integer number (2427357504).

Almost surely, 234799899743 is an apocalyptic number.

34799899743 is a deficient number, since it is larger than the sum of its proper divisors (23456680353).

34799899743 is a wasteful number, since it uses less digits than its factorization.

34799899743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7780075 (or 7780072 counting only the distinct ones).

The product of its digits is 370355328, while the sum is 72.

The spelling of 34799899743 in words is "thirty-four billion, seven hundred ninety-nine million, eight hundred ninety-nine thousand, seven hundred forty-three".

Divisors: 1 3 7 9 21 63 71 213 497 639 1491 4473 7779991 23339973 54459937 70019919 163379811 490139433 552379361 1657138083 3866655527 4971414249 11599966581 34799899743