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132551035316 = 227232632932671
BaseRepresentation
bin111101101110010101…
…0000100100110110100
3110200010201011021012022
41323130222010212310
54132431031112231
6140520524412312
712401511132050
oct1733452044664
9420121137168
10132551035316
115123a670787
12218330a7098
13c66556269b
1465b6202c60
1536abcc0c7b
hex1edca849b4

132551035316 has 96 divisors (see below), whose sum is σ = 278732095488. Its totient is φ = 53926139520.

The previous prime is 132551035307. The next prime is 132551035327. The reversal of 132551035316 is 613530155231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49624661 + ... + 49627331.

It is an arithmetic number, because the mean of its divisors is an integer number (2903459328).

Almost surely, 2132551035316 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 132551035316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139366047744).

132551035316 is an abundant number, since it is smaller than the sum of its proper divisors (146181060172).

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

132551035316 is a wasteful number, since it uses less digits than its factorization.

132551035316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 35.

The spelling of 132551035316 in words is "one hundred thirty-two billion, five hundred fifty-one million, thirty-five thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 23 28 46 92 161 263 293 322 526 586 644 1052 1172 1841 2051 2671 3682 4102 5342 6049 6739 7364 8204 10684 12098 13478 18697 24196 26956 37394 42343 47173 61433 74788 77059 84686 94346 122866 154118 169372 188692 245732 308236 430031 539413 702473 782603 860062 1078826 1404946 1565206 1720124 1772357 2157652 2809892 3130412 3544714 4917311 5478221 7089428 9834622 10956442 12406499 16156879 17999869 19669244 21912884 24812998 32313758 35999738 49625996 64627516 71999476 113098153 125999083 205824589 226196306 251998166 411649178 452392612 503996332 823298356 1440772123 2881544246 4733965547 5763088492 9467931094 18935862188 33137758829 66275517658 132551035316