Search a number
-
+
3248740557132 = 2237537039103669
BaseRepresentation
bin101111010001101000000…
…001101110000101001100
3102111120120022111210202020
4233101220001232011030
5411211410040312012
610524241212530140
7453466551051540
oct57215001560514
912446508453666
103248740557132
111042868393954
12445764780950
131a747c9b4115
14b3350343a20
1559791bcea8c
hex2f46806e14c

3248740557132 has 96 divisors (see below), whose sum is σ = 8828105932800. Its totient is φ = 910559999232.

The previous prime is 3248740557103. The next prime is 3248740557149. The reversal of 3248740557132 is 2317550478423.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31285794 + ... + 31389462.

It is an arithmetic number, because the mean of its divisors is an integer number (91959436800).

Almost surely, 23248740557132 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 3248740557132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4414052966400).

3248740557132 is an abundant number, since it is smaller than the sum of its proper divisors (5579365375668).

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

3248740557132 is a wasteful number, since it uses less digits than its factorization.

3248740557132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110775 (or 110773 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 51.

The spelling of 3248740557132 in words is "three trillion, two hundred forty-eight billion, seven hundred forty million, five hundred fifty-seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 371 636 742 1113 1484 2226 4452 7039 14078 21117 28156 42234 49273 84468 98546 103669 147819 197092 207338 295638 311007 373067 414676 591276 622014 725683 746134 1119201 1244028 1451366 1492268 2177049 2238402 2611469 2902732 4354098 4476804 5222938 5494457 7834407 8708196 10445876 10988914 15668814 16483371 21977828 31337628 32966742 38461199 65933484 76922398 115383597 153844796 230767194 461534388 729726091 1459452182 2189178273 2918904364 4378356546 5108082637 8756713092 10216165274 15324247911 20432330548 30648495822 38675482823 61296991644 77350965646 116026448469 154701931292 232052896938 270728379761 464105793876 541456759522 812185139283 1082913519044 1624370278566 3248740557132