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132150762645 = 35116175117483
BaseRepresentation
bin111101100010011001…
…1001001110010010101
3110122002210222022022120
41323010303021302111
54131121043401040
6140413105250153
712355550643246
oct1730463116225
9418083868276
10132150762645
1151054729a20
1221741033959
13c600656c55
146578daaccd
153686aa67d0
hex1ec4cc9c95

132150762645 has 64 divisors (see below), whose sum is σ = 234770116608. Its totient is φ = 62935200000.

The previous prime is 132150762619. The next prime is 132150762661. The reversal of 132150762645 is 546267051231.

It is not a de Polignac number, because 132150762645 - 232 = 127855795349 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132150762597 and 132150762606.

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 63 ways as a sum of consecutive naturals, for example, 7550074 + ... + 7567556.

It is an arithmetic number, because the mean of its divisors is an integer number (3668283072).

Almost surely, 2132150762645 is an apocalyptic number.

132150762645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132150762645 is a deficient number, since it is larger than the sum of its proper divisors (102619353963).

132150762645 is a wasteful number, since it uses less digits than its factorization.

132150762645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18314.

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 132150762645 in words is "one hundred thirty-two billion, one hundred fifty million, seven hundred sixty-two thousand, six hundred forty-five".

Divisors: 1 3 5 11 15 33 55 61 165 183 305 671 751 915 2013 2253 3355 3755 8261 10065 11265 17483 24783 41305 45811 52449 87415 123915 137433 192313 229055 262245 503921 576939 687165 961565 1066463 1511763 2519605 2884695 3199389 5332315 7558815 11731093 13129733 15996945 35193279 39389199 58655465 65648665 144427063 175966395 196945995 433281189 722135315 800913713 2166405945 2402741139 4004568565 8810050843 12013705695 26430152529 44050254215 132150762645