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42322759222096 = 2417475383752581
BaseRepresentation
bin10011001111110000010010…
…00001111000001101010000
312112212000102212012011102101
421213320021001320031100
521021404002330101341
6230002450203330144
711625501266501353
oct1147701101701520
9175760385164371
1042322759222096
1112537a88257611
1248b6526520954
131a80032b85952
14a6460aa0029a
154d5da34a6831
hex267e09078350

42322759222096 has 160 divisors (see below), whose sum is σ = 91432860922368. Its totient is φ = 18894598594560.

The previous prime is 42322759222057. The next prime is 42322759222129. The reversal of 42322759222096 is 69022295722324.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55860526 + ... + 56613106.

Almost surely, 242322759222096 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 42322759222096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45716430461184).

42322759222096 is an abundant number, since it is smaller than the sum of its proper divisors (49110101700272).

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

42322759222096 is a wasteful number, since it uses less digits than its factorization.

42322759222096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752789 (or 752783 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 55.

The spelling of 42322759222096 in words is "forty-two trillion, three hundred twenty-two billion, seven hundred fifty-nine million, two hundred twenty-two thousand, ninety-six".

Divisors: 1 2 4 8 16 17 34 47 53 68 83 94 106 136 166 188 212 272 332 376 424 664 752 799 848 901 1328 1411 1598 1802 2491 2822 3196 3604 3901 4399 4982 5644 6392 7208 7802 8798 9964 11288 12784 14416 15604 17596 19928 22576 31208 35192 39856 42347 62416 66317 70384 74783 84694 132634 149566 169388 206753 265268 299132 338776 413506 530536 598264 677552 752581 827012 1061072 1196528 1505162 1654024 3010324 3308048 3514801 6020648 7029602 12041296 12793877 14059204 25587754 28118408 35371307 39886793 51175508 56236816 62464223 70742614 79773586 102351016 124928446 141485228 159547172 204702032 249856892 282970456 319094344 499713784 565940912 601312219 638188688 678075481 999427568 1061891791 1202624438 1356150962 1874679271 2123783582 2405248876 2712301924 2935818481 3310603819 3749358542 4247567164 4810497752 5424603848 5871636962 6621207638 7498717084 8495134328 9620995504 10849207696 11743273924 13242415276 14997434168 16990268656 23486547848 26484830552 29994868336 31869547607 46973095696 49908914177 52969661104 56280264923 63739095214 99817828354 112560529846 127478190428 155598379493 199635656708 225121059692 254956380856 311196758986 399271313416 450242119384 509912761712 622393517972 798542626832 900484238768 1244787035944 2489574071888 2645172451381 5290344902762 10580689805524 21161379611048 42322759222096