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42672627624 = 233112127911489
BaseRepresentation
bin100111101111011111…
…001001111110101000
311002010221002002100210
4213233133021332220
51144343143040444
631334210301120
73040316231034
oct475737117650
9132127062323
1042672627624
1117108649800
12832ab877a0
1340409a4023
1420cb5171c4
15119b4617b9
hex9ef7c9fa8

42672627624 has 96 divisors (see below), whose sum is σ = 117363456000. Its totient is φ = 12919864320.

The previous prime is 42672627623. The next prime is 42672627643.

42672627624 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (42672627623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3708472 + ... + 3719960.

It is an arithmetic number, because the mean of its divisors is an integer number (1222536000).

Almost surely, 242672627624 is an apocalyptic number.

42672627624 is a gapful number since it is divisible by the number (44) 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 42672627624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58681728000).

42672627624 is an abundant number, since it is smaller than the sum of its proper divisors (74690828376).

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

42672627624 is a wasteful number, since it uses less digits than its factorization.

42672627624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12799 (or 12784 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 48.

The spelling of 42672627624 in words is "forty-two billion, six hundred seventy-two million, six hundred twenty-seven thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1279 1452 2558 2904 3837 5116 7674 10232 11489 14069 15348 22978 28138 30696 34467 42207 45956 56276 68934 84414 91912 112552 126379 137868 154759 168828 252758 275736 309518 337656 379137 464277 505516 619036 758274 928554 1011032 1238072 1390169 1516548 1857108 2780338 3033096 3714216 4170507 5560676 8341014 11121352 14694431 16682028 29388862 33364056 44083293 58777724 88166586 117555448 161638741 176333172 323277482 352666344 484916223 646554964 969832446 1293109928 1778026151 1939664892 3556052302 3879329784 5334078453 7112104604 10668156906 14224209208 21336313812 42672627624