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5435010616 = 2373592569
BaseRepresentation
bin1010000111111001…
…11010111000111000
3112000202221010221111
411003330322320320
542112330314431
62255151050104
7251453554000
oct50374727070
915022833844
105435010616
112339a15a12
121078210934
1368800aa19
14397b7b000
1521c2337b1
hex143f3ae38

5435010616 has 96 divisors (see below), whose sum is σ = 12110220000. Its totient is φ = 2285786496.

The previous prime is 5435010583. The next prime is 5435010617. The reversal of 5435010616 is 6160105345.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5435010617) 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, 9551580 + ... + 9552148.

It is an arithmetic number, because the mean of its divisors is an integer number (126148125).

Almost surely, 25435010616 is an apocalyptic number.

5435010616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5435010616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6055110000).

5435010616 is an abundant number, since it is smaller than the sum of its proper divisors (6675209384).

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

5435010616 is an equidigital number, since it uses as much as digits as its factorization.

5435010616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 5435010616 is about 73722.5244820062. The cubic root of 5435010616 is about 1758.1940212700.

The spelling of 5435010616 in words is "five billion, four hundred thirty-five million, ten thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 28 49 56 59 98 118 196 236 343 392 413 472 569 686 826 1138 1372 1652 2276 2744 2891 3304 3481 3983 4552 5782 6962 7966 11564 13924 15932 20237 23128 24367 27848 27881 31864 33571 40474 48734 55762 67142 80948 97468 111524 134284 161896 170569 194936 195167 223048 234997 268568 341138 390334 469994 682276 780668 939988 1193983 1364552 1561336 1644979 1879976 1980689 2387966 3289958 3961378 4775932 6579916 7922756 9551864 11514853 13159832 13864823 15845512 23029706 27729646 46059412 55459292 92118824 97053761 110918584 194107522 388215044 679376327 776430088 1358752654 2717505308 5435010616