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86321201972 = 2253465787433
BaseRepresentation
bin101000001100100100…
…1010000001100110100
322020210212120101221112
41100121021100030310
52403241211430342
6103353322534152
76144056052605
oct1203111201464
9266725511845
1086321201972
1133677082745
1214890967358
1381a8912c05
14426c4b9dac
1523a3402682
hex1419250334

86321201972 has 24 divisors (see below), whose sum is σ = 153947142216. Its totient is φ = 42336672768.

The previous prime is 86321201957. The next prime is 86321202007. The reversal of 86321201972 is 27910212368.

It can be written as a sum of positive squares in 4 ways, for example, as 16711767076 + 69609434896 = 129274^2 + 263836^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 943568 + ... + 1031000.

It is an arithmetic number, because the mean of its divisors is an integer number (6414464259).

Almost surely, 286321201972 is an apocalyptic number.

It is an amenable number.

86321201972 is a deficient number, since it is larger than the sum of its proper divisors (67625940244).

86321201972 is a wasteful number, since it uses less digits than its factorization.

86321201972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92147 (or 92145 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The spelling of 86321201972 in words is "eighty-six billion, three hundred twenty-one million, two hundred one thousand, nine hundred seventy-two".

Divisors: 1 2 4 53 106 212 4657 9314 18628 87433 174866 246821 349732 493642 987284 4633949 9267898 18535796 407175481 814350962 1628701924 21580300493 43160600986 86321201972