Search a number
-
+
10542070704 = 24311193103451
BaseRepresentation
bin10011101000101101…
…10011101110110000
31000012200202200100010
421310112303232300
5133042232230304
64502025054520
7522146060004
oct116426635660
930180680303
1010542070704
11451a7a6830
122062627440
13cc00b2779
1472014a704
1541a786789
hex2745b3bb0

10542070704 has 80 divisors (see below), whose sum is σ = 29863695744. Its totient is φ = 3177984000.

The previous prime is 10542070687. The next prime is 10542070717. The reversal of 10542070704 is 40707024501.

It is a super-2 number, since 2×105420707042 (a number of 21 digits) contains 22 as substring.

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, 50179 + ... + 153629.

Almost surely, 210542070704 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 10542070704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14931847872).

10542070704 is an abundant number, since it is smaller than the sum of its proper divisors (19321625040).

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

10542070704 is a wasteful number, since it uses less digits than its factorization.

10542070704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103666 (or 103660 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The spelling of 10542070704 in words is "ten billion, five hundred forty-two million, seventy thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 193 264 386 528 579 772 1158 1544 2123 2316 3088 4246 4632 6369 8492 9264 12738 16984 25476 33968 50952 101904 103451 206902 310353 413804 620706 827608 1137961 1241412 1655216 2275922 2482824 3413883 4551844 4965648 6827766 9103688 13655532 18207376 19966043 27311064 39932086 54622128 59898129 79864172 119796258 159728344 219626473 239592516 319456688 439252946 479185032 658879419 878505892 958370064 1317758838 1757011784 2635517676 3514023568 5271035352 10542070704