Search a number
-
+
42535245510 = 23253716137919
BaseRepresentation
bin100111100111010011…
…000101011011000110
311001210100120100112100
4213213103011123012
51144103010324020
631312421532530
73034030423062
oct474723053306
9131710510470
1042535245510
111704804556a
1282b0b74146
13401b3a2434
1420b7194aa2
15118e375a90
hex9e74c56c6

42535245510 has 96 divisors (see below), whose sum is σ = 113665368960. Its totient is φ = 11027937024.

The previous prime is 42535245509. The next prime is 42535245521. The reversal of 42535245510 is 1554253524.

42535245510 is a `hidden beast` number, since 4 + 2 + 53 + 52 + 4 + 551 + 0 = 666.

It is a super-2 number, since 2×425352455102 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5367331 + ... + 5375249.

It is an arithmetic number, because the mean of its divisors is an integer number (1184014260).

Almost surely, 242535245510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42535245510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56832684480).

42535245510 is an abundant number, since it is smaller than the sum of its proper divisors (71130123450).

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

42535245510 is a wasteful number, since it uses less digits than its factorization.

42535245510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9582 (or 9579 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 42535245510 in words is "forty-two billion, five hundred thirty-five million, two hundred forty-five thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1613 1665 3226 3330 4839 7919 8065 9678 14517 15838 16130 23757 24195 29034 39595 47514 48390 59681 71271 72585 79190 118785 119362 142542 145170 179043 237570 293003 298405 356355 358086 537129 586006 596810 712710 879009 895215 1074258 1465015 1758018 1790430 2637027 2685645 2930030 4395045 5274054 5371290 8790090 12773347 13185135 25546694 26370270 38320041 63866735 76640082 114960123 127733470 191600205 229920246 383200410 472613839 574800615 945227678 1149601230 1417841517 2363069195 2835683034 4253524551 4726138390 7089207585 8507049102 14178415170 21267622755 42535245510