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42765883416 = 2333618936469
BaseRepresentation
bin100111110101000010…
…111001100000011000
311002101102112222021000
4213311002321200120
51200041031232131
631351341145000
73042531003564
oct476502714030
9132342488230
1042765883416
1117156254203
12835625b160
1340570c5b79
1420d9a706a4
1511a4732ce6
hex9f50b9818

42765883416 has 128 divisors (see below), whose sum is σ = 122101560000. Its totient is φ = 13863674880.

The previous prime is 42765883397. The next prime is 42765883453. The reversal of 42765883416 is 61438856724.

It is a happy number.

42765883416 is a `hidden beast` number, since 4 + 27 + 6 + 588 + 34 + 1 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1154430 + ... + 1190898.

Almost surely, 242765883416 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 42765883416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61050780000).

42765883416 is an abundant number, since it is smaller than the sum of its proper divisors (79335676584).

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

42765883416 is a wasteful number, since it uses less digits than its factorization.

42765883416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36634 (or 36624 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 42765883416 in words is "forty-two billion, seven hundred sixty-five million, eight hundred eighty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 89 108 122 178 183 216 244 267 356 366 488 534 549 712 732 801 1068 1098 1464 1602 1647 2136 2196 2403 3204 3294 4392 4806 5429 6408 6588 9612 10858 13176 16287 19224 21716 32574 36469 43432 48861 65148 72938 97722 109407 130296 145876 146583 195444 218814 291752 293166 328221 390888 437628 586332 656442 875256 984663 1172664 1312884 1969326 2224609 2625768 3245741 3938652 4449218 6491482 6673827 7877304 8898436 9737223 12982964 13347654 17796872 19474446 20021481 25965928 26695308 29211669 38948892 40042962 53390616 58423338 60064443 77897784 80085924 87635007 116846676 120128886 160171848 175270014 197990201 233693352 240257772 350540028 395980402 480515544 593970603 701080056 791960804 1187941206 1583921608 1781911809 2375882412 3563823618 4751764824 5345735427 7127647236 10691470854 14255294472 21382941708 42765883416