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42537073524 = 223114373910141
BaseRepresentation
bin100111100111011010…
…000011101101110100
311001210111000020002120
4213213122003231310
51144103442323044
631312525035540
73034052105421
oct474732035564
9131714006076
1042537073524
1117049083a20
1282b16b5bb0
13401b8924ba
1420b750cd48
15118e5d7519
hex9e7683b74

42537073524 has 96 divisors (see below), whose sum is σ = 110955102720. Its totient is φ = 12571977600.

The previous prime is 42537073511. The next prime is 42537073561.

42537073524 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 4189494 + ... + 4199634.

It is an arithmetic number, because the mean of its divisors is an integer number (1155782320).

Almost surely, 242537073524 is an apocalyptic number.

42537073524 is a gapful number since it is divisible by the number (44) 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 42537073524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55477551360).

42537073524 is an abundant number, since it is smaller than the sum of its proper divisors (68418029196).

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

42537073524 is a wasteful number, since it uses less digits than its factorization.

42537073524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10941 (or 10939 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 42.

It can be divided in two parts, 425370 and 73524, that added together give a palindrome (498894).

The spelling of 42537073524 in words is "forty-two billion, five hundred thirty-seven million, seventy-three thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 473 516 739 946 1419 1478 1892 2217 2838 2956 4434 5676 8129 8868 10141 16258 20282 24387 30423 31777 32516 40564 48774 60846 63554 95331 97548 111551 121692 127108 190662 223102 334653 349547 381324 436063 446204 669306 699094 872126 1048641 1308189 1338612 1398188 1744252 2097282 2616378 4194564 4796693 5232756 7494199 9593386 14390079 14988398 19186772 22482597 28780158 29976796 44965194 57560316 82436189 89930388 164872378 247308567 322250557 329744756 494617134 644501114 966751671 989234268 1289002228 1933503342 3544756127 3867006684 7089512254 10634268381 14179024508 21268536762 42537073524