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86245592976 = 2432244732
BaseRepresentation
bin101000001010010100…
…0110100111110010000
322020121121022001220100
41100110220310332100
52403112332433401
6103342022212400
76142150305324
oct1202450647620
9266547261810
1086245592976
1133638430574
121486b584100
13819605c36a
144262437984
15239b969b86
hex1414a34f90

86245592976 has 45 divisors (see below), whose sum is σ = 241377737809. Its totient is φ = 28747356288.

The previous prime is 86245592969. The next prime is 86245592977. The reversal of 86245592976 is 67929554268.

The square root of 86245592976 is 293676.

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

86245592976 is a `hidden beast` number, since 8 + 6 + 2 + 4 + 559 + 2 + 9 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 68027072400 + 18218520576 = 260820^2 + 134976^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86245592977) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3511876 + ... + 3536348.

Almost surely, 286245592976 is an apocalyptic number.

86245592976 is the 293676-th square number.

It is an amenable number.

86245592976 is an abundant number, since it is smaller than the sum of its proper divisors (155132144833).

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

86245592976 is an frugal number, since it uses more digits than its factorization.

86245592976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48960 (or 24478 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 86245592976 in words is "eighty-six billion, two hundred forty-five million, five hundred ninety-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 24473 48946 73419 97892 146838 195784 220257 293676 391568 440514 587352 881028 1174704 1762056 3524112 598927729 1197855458 1796783187 2395710916 3593566374 4791421832 5390349561 7187132748 9582843664 10780699122 14374265496 21561398244 28748530992 43122796488 86245592976