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42791229408 = 2533471284559
BaseRepresentation
bin100111110110100011…
…100101011111100000
311002110012020200102110
4213312203211133200
51200114023320113
631354044315320
73043256306604
oct476643453740
9132405220373
1042791229408
1117169596004
128362842b40
13405c42b6b5
1420dd18b504
1511a6a8cbc3
hex9f68e57e0

42791229408 has 48 divisors (see below), whose sum is σ = 112650773760. Its totient is φ = 14222626176.

The previous prime is 42791229401. The next prime is 42791229413. The reversal of 42791229408 is 80492219724.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42791229401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 608968 + ... + 675591.

It is an arithmetic number, because the mean of its divisors is an integer number (2346891120).

Almost surely, 242791229408 is an apocalyptic number.

42791229408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42791229408 is an abundant number, since it is smaller than the sum of its proper divisors (69859544352).

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

42791229408 is a wasteful number, since it uses less digits than its factorization.

42791229408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284919 (or 1284911 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 42791229408 in words is "forty-two billion, seven hundred ninety-one million, two hundred twenty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 347 694 1041 1388 2082 2776 4164 5552 8328 11104 16656 33312 1284559 2569118 3853677 5138236 7707354 10276472 15414708 20552944 30829416 41105888 61658832 123317664 445741973 891483946 1337225919 1782967892 2674451838 3565935784 5348903676 7131871568 10697807352 14263743136 21395614704 42791229408