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42279068664 = 2333723994621
BaseRepresentation
bin100111011000000001…
…110110001111111000
311001010111112012222000
4213120001312033320
51143041420144124
631231151101000
73024500103600
oct473001661770
9131114465860
1042279068664
1116a26483068
12823b211760
133caa2a93c1
14209114bc00
151176b216c9
hex9d80763f8

42279068664 has 96 divisors (see below), whose sum is σ = 136616072400. Its totient is φ = 12079730880.

The previous prime is 42279068633. The next prime is 42279068669. The reversal of 42279068664 is 46686097224.

42279068664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 42279068664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42279068669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1986727 + ... + 2007894.

Almost surely, 242279068664 is an apocalyptic number.

It is an amenable number.

42279068664 is an abundant number, since it is smaller than the sum of its proper divisors (94337003736).

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

42279068664 is a wasteful number, since it uses less digits than its factorization.

42279068664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3994650 (or 3994633 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 42279068664 in words is "forty-two billion, two hundred seventy-nine million, sixty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1323 1512 1764 2646 3528 5292 10584 3994621 7989242 11983863 15978484 23967726 27962347 31956968 35951589 47935452 55924694 71903178 83887041 95870904 107854767 111849388 143806356 167774082 195736429 215709534 223698776 251661123 287612712 335548164 391472858 431419068 503322246 587209287 671096328 754983369 782945716 862838136 1006644492 1174418574 1509966738 1565891432 1761627861 2013288984 2348837148 3019933476 3523255722 4697674296 5284883583 6039866952 7046511444 10569767166 14093022888 21139534332 42279068664