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42232311552 = 283197279137
BaseRepresentation
bin100111010101001111…
…011110111100000000
311001000020112201021010
4213111033132330000
51142442432432202
631222401000520
73023361503514
oct472517367400
9131006481233
1042232311552
1116a02047822
128227623140
133ca06b8082
142088c5a144
15117298776c
hex9d53def00

42232311552 has 72 divisors (see below), whose sum is σ = 112970498256. Its totient is φ = 14005927936.

The previous prime is 42232311533. The next prime is 42232311559. The reversal of 42232311552 is 25511323224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42232311559) 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 7 ways as a sum of consecutive naturals, for example, 11728 + ... + 290864.

It is an arithmetic number, because the mean of its divisors is an integer number (1569034698).

Almost surely, 242232311552 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 42232311552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56485249128).

42232311552 is an abundant number, since it is smaller than the sum of its proper divisors (70738186704).

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

42232311552 is a wasteful number, since it uses less digits than its factorization.

42232311552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279353 (or 279339 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

Adding to 42232311552 its reverse (25511323224), we get a palindrome (67743634776).

The spelling of 42232311552 in words is "forty-two billion, two hundred thirty-two million, three hundred eleven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 197 256 384 394 591 768 788 1182 1576 2364 3152 4728 6304 9456 12608 18912 25216 37824 50432 75648 151296 279137 558274 837411 1116548 1674822 2233096 3349644 4466192 6699288 8932384 13398576 17864768 26797152 35729536 53594304 54989989 71459072 107188608 109979978 164969967 214377216 219959956 329939934 439919912 659879868 879839824 1319759736 1759679648 2639519472 3519359296 5279038944 7038718592 10558077888 14077437184 21116155776 42232311552