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747434434747 = 71113257437519
BaseRepresentation
bin10101110000001101001…
…00000110000010111011
32122110020222202100110111
422320012210012002323
544221221203402442
61331211105525151
7105000056604130
oct12700644060273
92573228670414
10747434434747
11268a92286590
12100a363437b7
1355637832400
1428266dd8587
15146985beb17
hexae069060bb

747434434747 has 24 divisors (see below), whose sum is σ = 1009062351360. Its totient is φ = 537615168480.

The previous prime is 747434434723. The next prime is 747434434763.

It is a happy number.

747434434747 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-747434434747 is a prime.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 747434434691 and 747434434700.

It is not an unprimeable number, because it can be changed into a prime (747434434777) 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, 28705747 + ... + 28731772.

It is an arithmetic number, because the mean of its divisors is an integer number (42044264640).

Almost surely, 2747434434747 is an apocalyptic number.

747434434747 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

747434434747 is a deficient number, since it is larger than the sum of its proper divisors (261627916613).

747434434747 is a wasteful number, since it uses less digits than its factorization.

747434434747 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57437563 (or 57437550 counting only the distinct ones).

The product of its digits is 88510464, while the sum is 58.

The spelling of 747434434747 in words is "seven hundred forty-seven billion, four hundred thirty-four million, four hundred thirty-four thousand, seven hundred forty-seven".

Divisors: 1 7 11 13 77 91 143 169 1001 1183 1859 13013 57437519 402062633 631812709 746687747 4422688963 5226814229 8213565217 9706940711 57494956519 67948584977 106776347821 747434434747