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42225769362 = 23717123747809
BaseRepresentation
bin100111010100110110…
…100001101110010010
311000222210020100001210
4213110312201232102
51142434244104422
631222004440550
73023252055210
oct472466415622
9130883210053
1042225769362
11169a9389557
1282253a9156
133c9c23735a
142088035cb0
1511720e410c
hex9d4da1b92

42225769362 has 64 divisors (see below), whose sum is σ = 102278211840. Its totient is φ = 11345412096.

The previous prime is 42225769357. The next prime is 42225769367. The reversal of 42225769362 is 26396752224.

42225769362 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42225769357) and next prime (42225769367).

It is not an unprimeable number, because it can be changed into a prime (42225769367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 859314 + ... + 907122.

It is an arithmetic number, because the mean of its divisors is an integer number (1598097060).

Almost surely, 242225769362 is an apocalyptic number.

42225769362 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 42225769362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51139105920).

42225769362 is an abundant number, since it is smaller than the sum of its proper divisors (60052442478).

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

42225769362 is a wasteful number, since it uses less digits than its factorization.

42225769362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49075.

The product of its digits is 2177280, while the sum is 48.

The spelling of 42225769362 in words is "forty-two billion, two hundred twenty-five million, seven hundred sixty-nine thousand, three hundred sixty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 1237 2474 3711 7422 8659 17318 21029 25977 42058 47809 51954 63087 95618 126174 143427 147203 286854 294406 334663 441609 669326 812753 883218 1003989 1625506 2007978 2438259 4876518 5689271 11378542 17067813 34135626 59139733 118279466 177419199 354838398 413978131 827956262 1005375461 1241934393 2010750922 2483868786 3016126383 6032252766 7037628227 14075256454 21112884681 42225769362