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968076022472 = 2313218119012081
BaseRepresentation
bin11100001011001011101…
…00111101001011001000
310102112202212211100002222
432011211310331023020
5111330104430204342
62020421124513212
7126640553264156
oct16054564751310
93375685740088
10968076022472
1134361674a099
1213775284b808
137039b426200
1434bd86923d6
151a2adc94ed2
hexe165d3d2c8

968076022472 has 96 divisors (see below), whose sum is σ = 1978358414760. Its totient is φ = 443888640000.

The previous prime is 968076022447. The next prime is 968076022513. The reversal of 968076022472 is 274220670869.

968076022472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 350258014276 + 617818008196 = 591826^2 + 786014^2 .

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, 465196472 + ... + 465198552.

Almost surely, 2968076022472 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 968076022472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989179207380).

968076022472 is an abundant number, since it is smaller than the sum of its proper divisors (1010282392288).

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

968076022472 is a wasteful number, since it uses less digits than its factorization.

968076022472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4195 (or 4178 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 53.

The spelling of 968076022472 in words is "nine hundred sixty-eight billion, seventy-six million, twenty-two thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 26 52 104 169 181 338 362 676 724 1352 1448 1901 2081 2353 3802 4162 4706 7604 8324 9412 15208 16648 18824 24713 27053 30589 49426 54106 61178 98852 108212 122356 197704 216424 244712 321269 344081 351689 376661 642538 688162 703378 753322 1285076 1376324 1406756 1506644 2570152 2752648 2813512 3013288 3955981 4473053 4896593 7911962 8946106 9793186 15823924 17892212 19586372 31647848 35784424 39172744 51427753 58149689 63655709 102855506 116299378 127311418 205711012 232598756 254622836 411422024 465197512 509245672 668560789 716032561 1337121578 1432065122 2674243156 2864130244 5348486312 5728260488 9308423293 18616846586 37233693172 74467386344 121009502809 242019005618 484038011236 968076022472