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86432472036 = 2234163332
BaseRepresentation
bin101000001111111000…
…1101101101111100100
322021002121221111210000
41100133301231233210
52404003203101121
6103412335501300
76146606614251
oct1203761555744
9267077844700
1086432472036
1133723971579
1214902087830
1381c59a13a1
14427d1a2428
1523ad081526
hex141fc6dbe4

86432472036 has 45 divisors (see below), whose sum is σ = 225965389881. Its totient is φ = 28809060048.

The previous prime is 86432472023. The next prime is 86432472043. The reversal of 86432472036 is 63027423468.

The square root of 86432472036 is 293994.

It is a perfect power (a square), and thus also a powerful number.

86432472036 is a `hidden beast` number, since 8 + 6 + 432 + 4 + 7 + 203 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6488302500 + 79944169536 = 80550^2 + 282744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 86432471982 and 86432472000.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5283726 + ... + 5300058.

Almost surely, 286432472036 is an apocalyptic number.

86432472036 is the 293994-th square number.

It is an amenable number.

86432472036 is an abundant number, since it is smaller than the sum of its proper divisors (139532917845).

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

86432472036 is an frugal number, since it uses more digits than its factorization.

86432472036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32682 (or 16338 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 86432472036 in words is "eighty-six billion, four hundred thirty-two million, four hundred seventy-two thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 16333 32666 48999 65332 97998 146997 195996 293994 440991 587988 881982 1322973 1763964 2645946 5291892 266766889 533533778 800300667 1067067556 1600601334 2400902001 3201202668 4801804002 7202706003 9603608004 14405412006 21608118009 28810824012 43216236018 86432472036