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86962252288 = 296712719961
BaseRepresentation
bin101000011111101011…
…0101010101000000000
322022110112211010122211
41100333112222220000
52411044314033123
6103541102511504
76166001643142
oct1207726525000
9268415733584
1086962252288
1133975a1929a
1214a2b595594
13827b682422
1442cd6aac92
1523de82d40d
hex143f5aaa00

86962252288 has 80 divisors (see below), whose sum is σ = 177745480704. Its totient is φ = 42492764160.

The previous prime is 86962252271. The next prime is 86962252303. The reversal of 86962252288 is 88225226968.

It is a happy number.

It is a super-2 number, since 2×869622522882 (a number of 23 digits) contains 22 as substring.

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4346628 + ... + 4366588.

Almost surely, 286962252288 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 86962252288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88872740352).

86962252288 is an abundant number, since it is smaller than the sum of its proper divisors (90783228416).

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

86962252288 is a wasteful number, since it uses less digits than its factorization.

86962252288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20173 (or 20157 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 58.

The spelling of 86962252288 in words is "eighty-six billion, nine hundred sixty-two million, two hundred fifty-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 67 127 128 134 254 256 268 508 512 536 1016 1072 2032 2144 4064 4288 8128 8509 8576 16256 17018 17152 19961 32512 34036 34304 39922 65024 68072 79844 136144 159688 272288 319376 544576 638752 1089152 1277504 1337387 2178304 2535047 2555008 2674774 4356608 5070094 5110016 5349548 10140188 10220032 10699096 20280376 21398192 40560752 42796384 81121504 85592768 162243008 169848149 171185536 324486016 339696298 342371072 648972032 679392596 684742144 1297944064 1358785192 2717570384 5435140768 10870281536 21740563072 43481126144 86962252288