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132177363006 = 231321071218247
BaseRepresentation
bin111101100011001100…
…0101000000000111110
3110122011200000202011010
41323012120220000332
54131144401104011
6140415455340050
712356323022313
oct1730630500076
9418150022133
10132177363006
1151068748197
1221749b21626
13c60600b700
14657c732d0a
1536890ad1a6
hex1ec662803e

132177363006 has 48 divisors (see below), whose sum is σ = 288929441664. Its totient is φ = 40289831712.

The previous prime is 132177362981. The next prime is 132177363011. The reversal of 132177363006 is 600363771231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 23 ways as a sum of consecutive naturals, for example, 500626 + ... + 717621.

It is an arithmetic number, because the mean of its divisors is an integer number (6019363368).

Almost surely, 2132177363006 is an apocalyptic number.

132177363006 is an abundant number, since it is smaller than the sum of its proper divisors (156752078658).

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

132177363006 is a wasteful number, since it uses less digits than its factorization.

132177363006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218385 (or 1218372 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 39.

The spelling of 132177363006 in words is "one hundred thirty-two billion, one hundred seventy-seven million, three hundred sixty-three thousand, six".

Divisors: 1 2 3 6 13 26 39 78 107 169 214 321 338 507 642 1014 1391 2782 4173 8346 18083 36166 54249 108498 1218247 2436494 3654741 7309482 15837211 31674422 47511633 95023266 130352429 205883743 260704858 391057287 411767486 617651229 782114574 1235302458 1694581577 3389163154 5083744731 10167489462 22029560501 44059121002 66088681503 132177363006