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42635223960 = 23357245920641
BaseRepresentation
bin100111101101010000…
…011110001110011000
311002001022200210011220
4213231100132032120
51144304104131320
631330352452040
73036353265330
oct475520361630
9132038623156
1042635223960
111709952188a
12831a54a020
134036009194
1420c657c0c0
151198023e40
hex9ed41e398

42635223960 has 128 divisors (see below), whose sum is σ = 146244441600. Its totient is φ = 9740759040.

The previous prime is 42635223937. The next prime is 42635223989. The reversal of 42635223960 is 6932253624.

42635223960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 2055240 + ... + 2075880.

It is an arithmetic number, because the mean of its divisors is an integer number (1142534700).

Almost surely, 242635223960 is an apocalyptic number.

42635223960 is a gapful number since it is divisible by the number (40) 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 42635223960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73122220800).

42635223960 is an abundant number, since it is smaller than the sum of its proper divisors (103609217640).

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

42635223960 is a wasteful number, since it uses less digits than its factorization.

42635223960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23121 (or 23117 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 42635223960 in words is "forty-two billion, six hundred thirty-five million, two hundred twenty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2459 4918 7377 9836 12295 14754 17213 19672 20641 24590 29508 34426 36885 41282 49180 51639 59016 61923 68852 73770 82564 86065 98360 103205 103278 123846 137704 144487 147540 165128 172130 206410 206556 247692 258195 288974 295080 309615 344260 412820 413112 433461 495384 516390 577948 619230 688520 722435 825640 866922 1032780 1155896 1238460 1444870 1733844 2065560 2167305 2476920 2889740 3467688 4334610 5779480 8669220 17338440 50756219 101512438 152268657 203024876 253781095 304537314 355293533 406049752 507562190 609074628 710587066 761343285 1015124380 1065880599 1218149256 1421174132 1522686570 1776467665 2030248760 2131761198 2842348264 3045373140 3552935330 4263522396 5329402995 6090746280 7105870660 8527044792 10658805990 14211741320 21317611980 42635223960