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86761448304 = 24319128374149
BaseRepresentation
bin101000011001101100…
…0101010001101110000
322021221112222020101020
41100303120222031300
52410141412321204
6103505130535440
76161013066606
oct1206330521560
9267845866336
1086761448304
1133882637293
1214994297580
138248ba61bb
1442b0b59876
1523cbdb5bd9
hex143362a370

86761448304 has 80 divisors (see below), whose sum is σ = 236117328000. Its totient is φ = 27376627968.

The previous prime is 86761448303. The next prime is 86761448317. The reversal of 86761448304 is 40384416768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86761448303) 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, 1133022 + ... + 1207170.

It is an arithmetic number, because the mean of its divisors is an integer number (2951466600).

Almost surely, 286761448304 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 86761448304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118058664000).

86761448304 is an abundant number, since it is smaller than the sum of its proper divisors (149355879696).

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

86761448304 is a wasteful number, since it uses less digits than its factorization.

86761448304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75462 (or 75456 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 86761448304 in words is "eighty-six billion, seven hundred sixty-one million, four hundred forty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 1283 2566 3849 5132 7698 10264 15396 20528 24377 30792 48754 61584 73131 74149 97508 146262 148298 195016 222447 292524 296596 390032 444894 585048 593192 889788 1170096 1186384 1408831 1779576 2817662 3559152 4226493 5635324 8452986 11270648 16905972 22541296 33811944 67623888 95133167 190266334 285399501 380532668 570799002 761065336 1141598004 1522130672 1807530173 2283196008 3615060346 4566392016 5422590519 7230120692 10845181038 14460241384 21690362076 28920482768 43380724152 86761448304