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132820822512 = 24327671966667
BaseRepresentation
bin111101110110010111…
…1001110100111110000
3110200211111210212122200
41323230233032213300
54134004112310022
6141003403103200
712411265235460
oct1735457164760
9420744725580
10132820822512
1151368989904
12218a9511b00
13c6a9412691
1465ddd8dba0
1536c5812bac
hex1eecbce9f0

132820822512 has 120 divisors (see below), whose sum is σ = 431156558976. Its totient is φ = 37382387328.

The previous prime is 132820822499. The next prime is 132820822529. The reversal of 132820822512 is 215228028231.

132820822512 is a `hidden beast` number, since 1 + 328 + 2 + 0 + 82 + 251 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 915798 + ... + 1050869.

Almost surely, 2132820822512 is an apocalyptic number.

132820822512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132820822512 is an abundant number, since it is smaller than the sum of its proper divisors (298335736464).

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

132820822512 is a wasteful number, since it uses less digits than its factorization.

132820822512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966755 (or 1966746 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 132820822512 in words is "one hundred thirty-two billion, eight hundred twenty million, eight hundred twenty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 67 72 84 112 126 134 144 168 201 252 268 336 402 469 504 536 603 804 938 1008 1072 1206 1407 1608 1876 2412 2814 3216 3752 4221 4824 5628 7504 8442 9648 11256 16884 22512 33768 67536 1966667 3933334 5900001 7866668 11800002 13766669 15733336 17700003 23600004 27533338 31466672 35400006 41300007 47200008 55066676 70800012 82600014 94400016 110133352 123900021 131766689 141600024 165200028 220266704 247800042 263533378 283200048 330400056 395300067 495600084 527066756 660800112 790600134 922366823 991200168 1054133512 1185900201 1581200268 1844733646 1982400336 2108267024 2371800402 2767100469 3162400536 3689467292 4743600804 5534200938 6324801072 7378934584 8301301407 9487201608 11068401876 14757869168 16602602814 18974403216 22136803752 33205205628 44273607504 66410411256 132820822512