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132766654620 = 22356782939839
BaseRepresentation
bin111101110100110000…
…0100110000010011100
3110200200201212212021110
41323221200212002130
54133401230421440
6140554150102020
712410036641545
oct1735140460234
9420621785243
10132766654620
1151340351756
122189334a910
13c69b128182
1465d6acd4cc
1536c0bb3080
hex1ee982609c

132766654620 has 96 divisors (see below), whose sum is σ = 377759692800. Its totient is φ = 34833072384.

The previous prime is 132766654613. The next prime is 132766654637. The reversal of 132766654620 is 26456667231.

132766654620 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 132766654620.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3312661 + ... + 3352499.

It is an arithmetic number, because the mean of its divisors is an integer number (3934996800).

Almost surely, 2132766654620 is an apocalyptic number.

132766654620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132766654620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188879846400).

132766654620 is an abundant number, since it is smaller than the sum of its proper divisors (244993038180).

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

132766654620 is a wasteful number, since it uses less digits than its factorization.

132766654620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40747 (or 40745 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 132766654620 in words is "one hundred thirty-two billion, seven hundred sixty-six million, six hundred fifty-four thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 829 1005 1340 1658 2010 2487 3316 4020 4145 4974 8290 9948 12435 16580 24870 39839 49740 55543 79678 111086 119517 159356 166629 199195 222172 239034 277715 333258 398390 478068 555430 597585 666516 796780 833145 1110860 1195170 1666290 2390340 2669213 3332580 5338426 8007639 10676852 13346065 16015278 26692130 32030556 33026531 40038195 53384260 66053062 80076390 99079593 132106124 160152780 165132655 198159186 330265310 396318372 495397965 660530620 990795930 1981591860 2212777577 4425555154 6638332731 8851110308 11063887885 13276665462 22127775770 26553330924 33191663655 44255551540 66383327310 132766654620