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970534289920 = 29513231267943
BaseRepresentation
bin11100001111110000101…
…10100000001000000000
310102210010012111021002111
432013320112200020000
5111400123234234140
62021505102025104
7130055513230516
oct16077026401000
93383105437074
10970534289920
11344668339888
12138119b78194
13706a0803330
1434d8cd5c4b6
151a3a49ca7ea
hexe1f85a0200

970534289920 has 160 divisors (see below), whose sum is σ = 2614967131392. Its totient is φ = 342770368512.

The previous prime is 970534289917. The next prime is 970534289947. The reversal of 970534289920 is 29982435079.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×9705342899202 (a number of 25 digits) contains 22 as substring.

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, 131469 + ... + 1399411.

Almost surely, 2970534289920 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 970534289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307483565696).

970534289920 is an abundant number, since it is smaller than the sum of its proper divisors (1644432841472).

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

970534289920 is a wasteful number, since it uses less digits than its factorization.

970534289920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268002 (or 1267986 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 58.

The spelling of 970534289920 in words is "nine hundred seventy billion, five hundred thirty-four million, two hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 64 65 80 92 104 115 128 130 160 184 208 230 256 260 299 320 368 416 460 512 520 598 640 736 832 920 1040 1196 1280 1472 1495 1664 1840 2080 2392 2560 2944 2990 3328 3680 4160 4784 5888 5980 6656 7360 8320 9568 11776 11960 14720 16640 19136 23920 29440 33280 38272 47840 58880 76544 95680 153088 191360 382720 765440 1267943 2535886 5071772 6339715 10143544 12679430 16483259 20287088 25358860 29162689 32966518 40574176 50717720 58325378 65933036 81148352 82416295 101435440 116650756 131866072 145813445 162296704 164832590 202870880 233301512 263732144 291626890 324593408 329665180 379114957 405741760 466603024 527464288 583253780 649186816 659330360 758229914 811483520 933206048 1054928576 1166507560 1318660720 1516459828 1622967040 1866412096 1895574785 2109857152 2333015120 2637321440 3032919656 3245934080 3732824192 3791149570 4219714304 4666030240 5274642880 6065839312 7465648384 7582299140 8439428608 9332060480 10549285760 12131678624 14931296768 15164598280 18664120960 21098571520 24263357248 30329196560 37328241920 42197143040 48526714496 60658393120 74656483840 97053428992 121316786240 194106857984 242633572480 485267144960 970534289920