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642434062305 = 35737727227459
BaseRepresentation
bin10010101100101000000…
…11011101011111100001
32021102020100000202202110
421112110003131133201
541011201104443210
61211044035305533
764262054300250
oct11262403353741
92242210022673
10642434062305
11228500309682
12a4611a4b2a9
1348773093709
1423145c1a797
1511aa03a8420
hex95940dd7e1

642434062305 has 64 divisors (see below), whose sum is σ = 1208151060480. Its totient is φ = 285352429824.

The previous prime is 642434062289. The next prime is 642434062307. The reversal of 642434062305 is 503260434246.

642434062305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 642434062305 - 24 = 642434062289 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (642434062307) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2710666 + ... + 2938124.

It is an arithmetic number, because the mean of its divisors is an integer number (18877360320).

Almost surely, 2642434062305 is an apocalyptic number.

It is an amenable number.

642434062305 is a deficient number, since it is larger than the sum of its proper divisors (565716998175).

642434062305 is a wasteful number, since it uses less digits than its factorization.

642434062305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228238.

The product of its (nonzero) digits is 414720, while the sum is 39.

The spelling of 642434062305 in words is "six hundred forty-two billion, four hundred thirty-four million, sixty-two thousand, three hundred five".

Divisors: 1 3 5 7 15 21 35 37 105 111 185 259 555 727 777 1295 2181 3635 3885 5089 10905 15267 25445 26899 76335 80697 134495 188293 227459 403485 564879 682377 941465 1137295 1592213 2824395 3411885 4776639 7961065 8415983 23883195 25247949 42079915 58911881 126239745 165362693 176735643 294559405 496088079 826813465 883678215 1157538851 2480440395 3472616553 5787694255 6118419641 17363082765 18355258923 30592098205 42828937487 91776294615 128486812461 214144687435 642434062305