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42878516331392 = 27788758519221
BaseRepresentation
bin10011011111111011011101…
…01111000000001110000000
312121211010221112020111112222
421233331232233000032000
521110010200140101032
6231110041331110212
712013604415130010
oct1157755657001600
9177733845214488
1042878516331392
11127317496a0525
124986188442368
131ac0571718691
14a8348cdb7c40
154e557e0d9a12
hex26ff6ebc0380

42878516331392 has 128 divisors (see below), whose sum is σ = 97762560698880. Its totient is φ = 18350661888000.

The previous prime is 42878516331359. The next prime is 42878516331419. The reversal of 42878516331392 is 29313361587824.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×428785163313923 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4650089342 + ... + 4650098562.

It is an arithmetic number, because the mean of its divisors is an integer number (763770005460).

Almost surely, 242878516331392 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 42878516331392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48881280349440).

42878516331392 is an abundant number, since it is smaller than the sum of its proper divisors (54884044367488).

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

42878516331392 is an equidigital number, since it uses as much as digits as its factorization.

42878516331392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15980 (or 15968 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 62.

The spelling of 42878516331392 in words is "forty-two trillion, eight hundred seventy-eight billion, five hundred sixteen million, three hundred thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 887 896 1774 3548 5851 6209 7096 9221 11702 12418 14192 18442 23404 24836 28384 36884 40957 46808 49672 56768 64547 73768 81914 93616 99344 113536 129094 147536 163828 187232 198688 258188 295072 327656 374464 397376 516376 590144 655312 748928 794752 1032752 1180288 1310624 2065504 2621248 4131008 5189837 5242496 8179027 8262016 10379674 16358054 20759348 32716108 36328859 41518696 53952071 57253189 65432216 72657718 83037392 107904142 114506378 130864432 145315436 166074784 215808284 229012756 261728864 290630872 332149568 377664497 431616568 458025512 523457728 581261744 664299136 755328994 863233136 916051024 1046915456 1162523488 1510657988 1726466272 1832102048 2325046976 3021315976 3452932544 3664204096 4650093952 6042631952 6905865088 7328408192 12085263904 24170527808 47855486977 48341055616 95710973954 191421947908 334988408839 382843895816 669976817678 765687791632 1339953635356 1531375583264 2679907270712 3062751166528 5359814541424 6125502333056 10719629082848 21439258165696 42878516331392