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86666237136 = 24322294615701
BaseRepresentation
bin101000010110110110…
…1011101010011010000
322021200220211000012200
41100231231131103100
52404443024042021
6103451450123200
76155445601203
oct1205555352320
9267626730180
1086666237136
1133833916776
1214968420500
13823224b32b
1442a225393a
1523c385a126
hex142db5d4d0

86666237136 has 120 divisors (see below), whose sum is σ = 244175491560. Its totient is φ = 28695168000.

The previous prime is 86666237089. The next prime is 86666237149. The reversal of 86666237136 is 63173266668.

It can be written as a sum of positive squares in 4 ways, for example, as 40594190400 + 46072046736 = 201480^2 + 214644^2 .

It is a super-2 number, since 2×866662371362 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15199086 + ... + 15204786.

It is an arithmetic number, because the mean of its divisors is an integer number (2034795763).

Almost surely, 286666237136 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 86666237136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122087745780).

86666237136 is an abundant number, since it is smaller than the sum of its proper divisors (157509254424).

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

86666237136 is a wasteful number, since it uses less digits than its factorization.

86666237136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6405 (or 6396 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The spelling of 86666237136 in words is "eighty-six billion, six hundred sixty-six million, two hundred thirty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 229 458 461 687 916 922 1374 1383 1832 1844 2061 2748 2766 3664 3688 4122 4149 5496 5532 5701 7376 8244 8298 10992 11064 11402 16488 16596 17103 22128 22804 32976 33192 34206 45608 51309 66384 68412 91216 102618 105569 136824 205236 211138 273648 316707 410472 422276 633414 820944 844552 950121 1266828 1305529 1689104 1900242 2533656 2611058 2628161 3800484 3916587 5067312 5222116 5256322 7600968 7833174 7884483 10444232 10512644 11749761 15201936 15666348 15768966 20888464 21025288 23499522 23653449 31332696 31537932 42050576 46999044 47306898 62665392 63075864 93998088 94613796 126151728 187996176 189227592 378455184 601848869 1203697738 1805546607 2407395476 3611093214 4814790952 5416639821 7222186428 9629581904 10833279642 14444372856 21666559284 28888745712 43333118568 86666237136