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34947760965 = 35132174791693
BaseRepresentation
bin100000100011000011…
…001000001101000101
310100012120101012110020
4200203003020031011
51033033111322330
624015455445353
72345016031635
oct404303101505
9110176335406
1034947760965
1113904111087
126933b26859
1333ac463400
1419975cc6c5
15d981b2210
hex8230c8345

34947760965 has 96 divisors (see below), whose sum is σ = 64282014720. Its totient is φ = 16149639168.

The previous prime is 34947760951. The next prime is 34947761011. The reversal of 34947760965 is 56906774943.

It is not a de Polignac number, because 34947760965 - 26 = 34947760901 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34947760899 and 34947760908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20641659 + ... + 20643351.

It is an arithmetic number, because the mean of its divisors is an integer number (669604320).

Almost surely, 234947760965 is an apocalyptic number.

It is an amenable number.

34947760965 is a deficient number, since it is larger than the sum of its proper divisors (29334253755).

34947760965 is a wasteful number, since it uses less digits than its factorization.

34947760965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2223 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 60.

The spelling of 34947760965 in words is "thirty-four billion, nine hundred forty-seven million, seven hundred sixty thousand, nine hundred sixty-five".

Divisors: 1 3 5 13 15 17 39 51 65 85 169 195 221 255 479 507 663 845 1105 1437 1693 2395 2535 2873 3315 5079 6227 7185 8143 8465 8619 14365 18681 22009 24429 25395 28781 31135 40715 43095 66027 80951 86343 93405 105859 110045 122145 143905 242853 286117 317577 330135 374153 404755 431715 529295 810947 858351 1122459 1214265 1376167 1430585 1587885 1870765 2432841 4054735 4128501 4291755 4863989 5612295 6880835 10542311 12164205 13786099 14591967 20642505 24319945 31626933 41358297 52711555 68930495 72959835 137050043 158134665 179219287 206791485 411150129 537657861 685250215 896096435 2055750645 2329850731 2688289305 6989552193 11649253655 34947760965