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3434432777013 = 37251074574797
BaseRepresentation
bin110001111110100100001…
…001010100101100110101
3110011022212112011221201110
4301332210021110230311
5422232204242331023
611145431233345233
7503062305635100
oct61764411245465
913138775157643
103434432777013
111104597849087
12475748708219
131bbb33a012c4
14bc328111737
155e50dec6a93
hex31fa4254b35

3434432777013 has 24 divisors (see below), whose sum is σ = 5327919545952. Its totient is φ = 1962148303584.

The previous prime is 3434432776997. The next prime is 3434432777029. The reversal of 3434432777013 is 3107772344343.

It is a happy number.

3434432777013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3434432776997) and next prime (3434432777029).

It is not a de Polignac number, because 3434432777013 - 24 = 3434432776997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434432777033) 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, 1536670 + ... + 3038127.

It is an arithmetic number, because the mean of its divisors is an integer number (221996647748).

Almost surely, 23434432777013 is an apocalyptic number.

It is an amenable number.

3434432777013 is a deficient number, since it is larger than the sum of its proper divisors (1893486768939).

3434432777013 is a wasteful number, since it uses less digits than its factorization.

3434432777013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4579921 (or 4579914 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 48.

The spelling of 3434432777013 in words is "three trillion, four hundred thirty-four billion, four hundred thirty-two million, seven hundred seventy-seven thousand, thirteen".

Divisors: 1 3 7 21 49 147 5107 15321 35749 107247 250243 750729 4574797 13724391 32023579 96070737 224165053 672495159 23363488279 70090464837 163544417953 490633253859 1144810925671 3434432777013