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132966649131552 = 25331258912224687
BaseRepresentation
bin11110001110111010110101…
…111000110111001000100000
3122102210111011101201220111000
4132032322311320313020200
5114412011144134202202
61150444011344352000
740002344343232125
oct3616726570671040
9572714141656430
10132966649131552
1139404926001905
1212ab59b1915600
13592691673a1b2
1424b98979cc74c
151058b7ae1391c
hex78eeb5e37220

132966649131552 has 96 divisors (see below), whose sum is σ = 387850231238400. Its totient is φ = 44318692041984.

The previous prime is 132966649131521. The next prime is 132966649131553. The reversal of 132966649131552 is 255131946669231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 132966649131552.

It is not an unprimeable number, because it can be changed into a prime (132966649131553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4764553 + ... + 16989239.

It is an arithmetic number, because the mean of its divisors is an integer number (4040106575400).

Almost surely, 2132966649131552 is an apocalyptic number.

132966649131552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132966649131552 is an abundant number, since it is smaller than the sum of its proper divisors (254883582106848).

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

132966649131552 is a wasteful number, since it uses less digits than its factorization.

132966649131552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12237295 (or 12237281 counting only the distinct ones).

The product of its digits is 62985600, while the sum is 63.

The spelling of 132966649131552 in words is "one hundred thirty-two trillion, nine hundred sixty-six billion, six hundred forty-nine million, one hundred thirty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 12589 25178 37767 50356 75534 100712 113301 151068 201424 226602 302136 339903 402848 453204 604272 679806 906408 1208544 1359612 1812816 2719224 3625632 5438448 10876896 12224687 24449374 36674061 48898748 73348122 97797496 110022183 146696244 195594992 220044366 293392488 330066549 391189984 440088732 586784976 660133098 880177464 1173569952 1320266196 1760354928 2640532392 3520709856 5281064784 10562129568 153896584643 307793169286 461689753929 615586338572 923379507858 1231172677144 1385069261787 1846759015716 2462345354288 2770138523574 3693518031432 4155207785361 4924690708576 5540277047148 7387036062864 8310415570722 11080554094296 14774072125728 16620831141444 22161108188592 33241662282888 44322216377184 66483324565776 132966649131552