Search a number
-
+
970709986080 = 25325729792381
BaseRepresentation
bin11100010000000101101…
…00101110101100100000
310102210120110002112220200
432020002310232230200
5111401003224023310
62021534335505200
7130063045512312
oct16100264565440
93383513075820
10970709986080
11344748531a1a
12138168988200
13706cb02b263
1434da84157b2
151a3b51339c0
hexe202d2eb20

970709986080 has 144 divisors (see below), whose sum is σ = 3313037650104. Its totient is φ = 258817720320.

The previous prime is 970709986039. The next prime is 970709986133. The reversal of 970709986080 is 80689907079.

It can be written as a sum of positive squares in 4 ways, for example, as 782142134544 + 188567851536 = 884388^2 + 434244^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 970709985999 and 970709986017.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10461490 + ... + 10553870.

Almost surely, 2970709986080 is an apocalyptic number.

970709986080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

970709986080 is an abundant number, since it is smaller than the sum of its proper divisors (2342327664024).

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

970709986080 is a wasteful number, since it uses less digits than its factorization.

970709986080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99699 (or 99688 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 970709986080 in words is "nine hundred seventy billion, seven hundred nine million, nine hundred eighty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 7297 14594 21891 29188 36485 43782 58376 65673 72970 87564 92381 109455 116752 131346 145940 175128 184762 218910 233504 262692 277143 291880 328365 350256 369524 437820 461905 525384 554286 583760 656730 700512 739048 831429 875640 923810 1050768 1108572 1167520 1313460 1385715 1478096 1662858 1751280 1847620 2101536 2217144 2626920 2771430 2956192 3325716 3502560 3695240 4157145 4434288 5253840 5542860 6651432 7390480 8314290 8868576 10507680 11085720 13302864 14780960 16628580 22171440 26605728 33257160 44342880 66514320 133028640 674104157 1348208314 2022312471 2696416628 3370520785 4044624942 5392833256 6066937413 6741041570 8089249884 10111562355 10785666512 12133874826 13482083140 16178499768 20223124710 21571333024 24267749652 26964166280 30334687065 32356999536 40446249420 48535499304 53928332560 60669374130 64713999072 80892498840 97070998608 107856665120 121338748260 161784997680 194141997216 242677496520 323569995360 485354993040 970709986080