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132682886496 = 25322320030629
BaseRepresentation
bin111101110010010000…
…1000010110101100000
3110200110220021000000100
41323210201002311200
54133213304331441
6140541554422400
712405001632606
oct1734441026540
9420426230010
10132682886496
11512a80374a6
122186b291a00
13c686978934
1465c9925876
1536b8667cb6
hex1ee4842d60

132682886496 has 72 divisors (see below), whose sum is σ = 393722063280. Its totient is φ = 42304686336.

The previous prime is 132682886459. The next prime is 132682886527. The reversal of 132682886496 is 694688286231.

132682886496 is a `hidden beast` number, since 1 + 3 + 2 + 68 + 2 + 8 + 86 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10008691 + ... + 10021938.

It is an arithmetic number, because the mean of its divisors is an integer number (5468361990).

Almost surely, 2132682886496 is an apocalyptic number.

132682886496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132682886496 is an abundant number, since it is smaller than the sum of its proper divisors (261039176784).

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

132682886496 is a wasteful number, since it uses less digits than its factorization.

132682886496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20030668 (or 20030657 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 63.

The spelling of 132682886496 in words is "one hundred thirty-two billion, six hundred eighty-two million, eight hundred eighty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 20030629 40061258 60091887 80122516 120183774 160245032 180275661 240367548 320490064 360551322 460704467 480735096 640980128 721102644 921408934 961470192 1382113401 1442205288 1842817868 1922940384 2764226802 2884410576 3685635736 4146340203 5528453604 5768821152 7371271472 8292680406 11056907208 14742542944 16585360812 22113814416 33170721624 44227628832 66341443248 132682886496