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42534011260 = 22513235935053
BaseRepresentation
bin100111100111001110…
…011000000101111100
311001210021020122110101
4213213032120011330
51144102201330020
631312335250444
73034014062506
oct474716300574
9131707218411
1042534011260
1117047382224
1282b0679a24
13401b05c700
1420b6d52d76
15118e1d000a
hex9e739817c

42534011260 has 72 divisors (see below), whose sum is σ = 96993015840. Its totient is φ = 15660672768.

The previous prime is 42534011257. The next prime is 42534011281. The reversal of 42534011260 is 6211043524.

It is a super-2 number, since 2×425340112602 (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 23 ways as a sum of consecutive naturals, for example, 1195894 + ... + 1230946.

It is an arithmetic number, because the mean of its divisors is an integer number (1347125220).

Almost surely, 242534011260 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 42534011260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48496507920).

42534011260 is an abundant number, since it is smaller than the sum of its proper divisors (54459004580).

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

42534011260 is a wasteful number, since it uses less digits than its factorization.

42534011260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35447 (or 35432 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 42534011260 its reverse (6211043524), we get a palindrome (48745054784).

The spelling of 42534011260 in words is "forty-two billion, five hundred thirty-four million, eleven thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 359 676 718 845 1436 1690 1795 3380 3590 4667 7180 9334 18668 23335 35053 46670 60671 70106 93340 121342 140212 175265 242684 303355 350530 455689 606710 701060 911378 1213420 1822756 2278445 4556890 5923957 9113780 11847914 12584027 23695828 25168054 29619785 50336108 59239570 62920135 118479140 125840270 163592351 251680540 327184702 654369404 817961755 1635923510 2126700563 3271847020 4253401126 8506802252 10633502815 21267005630 42534011260