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42605951262 = 23783100912113
BaseRepresentation
bin100111101011100000…
…110011100100011110
311001222021121120120220
4213223200303210132
51144224110420022
631323425222210
73035546416230
oct475340634436
9131867546526
1042605951262
1117083a48876
128310791966
13402cc2a264
1420c271c250
15119569085c
hex9eb83391e

42605951262 has 64 divisors (see below), whose sum is σ = 98664168960. Its totient is φ = 12013553664.

The previous prime is 42605951261. The next prime is 42605951273. The reversal of 42605951262 is 26215950624.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42605951261) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3511318 + ... + 3523430.

It is an arithmetic number, because the mean of its divisors is an integer number (1541627640).

Almost surely, 242605951262 is an apocalyptic number.

42605951262 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42605951262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49332084480).

42605951262 is an abundant number, since it is smaller than the sum of its proper divisors (56058217698).

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

42605951262 is a wasteful number, since it uses less digits than its factorization.

42605951262 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13217.

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 42605951262 in words is "forty-two billion, six hundred five million, nine hundred fifty-one thousand, two hundred sixty-two".

Divisors: 1 2 3 6 7 14 21 42 83 166 249 498 581 1009 1162 1743 2018 3027 3486 6054 7063 12113 14126 21189 24226 36339 42378 72678 83747 84791 167494 169582 251241 254373 502482 508746 586229 1005379 1172458 1758687 2010758 3016137 3517374 6032274 7037653 12222017 14075306 21112959 24444034 36666051 42225918 73332102 85554119 171108238 256662357 513324714 1014427411 2028854822 3043282233 6086564466 7100991877 14201983754 21302975631 42605951262