Search a number
-
+
35424252472 = 237367719069
BaseRepresentation
bin100000111111011100…
…110011001000111000
310101102202222110220211
4200333130303020320
51040022102034342
624135040400504
72362563115000
oct407734631070
9111382873824
1035424252472
1114029081214
126a47616134
1334570a714b
141a009c5000
15dc4e34c17
hex83f733238

35424252472 has 64 divisors (see below), whose sum is σ = 77576760000. Its totient is φ = 15158602368.

The previous prime is 35424252431. The next prime is 35424252491. The reversal of 35424252472 is 27425242453.

35424252472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×354242524723 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1848154 + ... + 1867222.

It is an arithmetic number, because the mean of its divisors is an integer number (1212136875).

Almost surely, 235424252472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35424252472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38788380000).

35424252472 is an abundant number, since it is smaller than the sum of its proper divisors (42152507528).

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

35424252472 is a wasteful number, since it uses less digits than its factorization.

35424252472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19773 (or 19755 counting only the distinct ones).

The product of its digits is 537600, while the sum is 40.

The spelling of 35424252472 in words is "thirty-five billion, four hundred twenty-four million, two hundred fifty-two thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 677 686 1354 1372 2708 2744 4739 5416 9478 18956 19069 33173 37912 38138 66346 76276 132692 133483 152552 232211 265384 266966 464422 533932 928844 934381 1067864 1857688 1868762 3737524 6540667 7475048 12909713 13081334 25819426 26162668 51638852 52325336 90367991 103277704 180735982 361471964 632575937 722943928 1265151874 2530303748 4428031559 5060607496 8856063118 17712126236 35424252472