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132177809008 = 2476135953891
BaseRepresentation
bin111101100011001101…
…0010100111001110000
3110122011200212101221201
41323012122110321300
54131200004342013
6140415513100544
712356326560520
oct1730632247160
9418150771851
10132177809008
1151068a22293
122174a0b7754
13c60613670b
14657c80b680
15368914a3dd
hex1ec6694e70

132177809008 has 80 divisors (see below), whose sum is σ = 298311621120. Its totient is φ = 55562745600.

The previous prime is 132177808993. The next prime is 132177809011. The reversal of 132177809008 is 800908771231.

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 15 ways as a sum of consecutive naturals, for example, 2425743 + ... + 2479633.

It is an arithmetic number, because the mean of its divisors is an integer number (3728895264).

Almost surely, 2132177809008 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 132177809008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149155810560).

132177809008 is an abundant number, since it is smaller than the sum of its proper divisors (166133812112).

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

132177809008 is a wasteful number, since it uses less digits than its factorization.

132177809008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54326 (or 54320 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 46.

The spelling of 132177809008 in words is "one hundred thirty-two billion, one hundred seventy-seven million, eight hundred nine thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 56 61 112 122 244 359 427 488 718 854 976 1436 1708 2513 2872 3416 5026 5744 6832 10052 20104 21899 40208 43798 53891 87596 107782 153293 175192 215564 306586 350384 377237 431128 613172 754474 862256 1226344 1508948 2452688 3017896 3287351 6035792 6574702 13149404 19346869 23011457 26298808 38693738 46022914 52597616 77387476 92045828 135428083 154774952 184091656 270856166 309549904 368183312 541712332 1083424664 1180159009 2166849328 2360318018 4720636036 8261113063 9441272072 16522226126 18882544144 33044452252 66088904504 132177809008