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86438867952 = 2434183529183
BaseRepresentation
bin101000010000000101…
…0000111001111110000
322021010001222110022210
41100200022013033300
52404011322233302
6103413124532120
76150015153243
oct1204012071760
9267101873283
1086438867952
113372753a958
1214904251040
1381c7100658
14427dd8925a
1523ad8e666c
hex14202873f0

86438867952 has 80 divisors (see below), whose sum is σ = 231503182848. Its totient is φ = 27771471360.

The previous prime is 86438867939. The next prime is 86438867959. The reversal of 86438867952 is 25976883468.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86438867959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101248 + ... + 427935.

Almost surely, 286438867952 is an apocalyptic number.

86438867952 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

86438867952 is an abundant number, since it is smaller than the sum of its proper divisors (145064314896).

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

86438867952 is a wasteful number, since it uses less digits than its factorization.

86438867952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529318 (or 529312 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 66.

The spelling of 86438867952 in words is "eighty-six billion, four hundred thirty-eight million, eight hundred sixty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 83 123 164 166 246 249 328 332 492 498 656 664 984 996 1328 1968 1992 3403 3984 6806 10209 13612 20418 27224 40836 54448 81672 163344 529183 1058366 1587549 2116732 3175098 4233464 6350196 8466928 12700392 21696503 25400784 43393006 43922189 65089509 86786012 87844378 130179018 131766567 173572024 175688756 260358036 263533134 347144048 351377512 520716072 527066268 702755024 1041432144 1054132536 1800809749 2108265072 3601619498 5402429247 7203238996 10804858494 14406477992 21609716988 28812955984 43219433976 86438867952