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131958228992 = 2112323492
BaseRepresentation
bin111101011100101010…
…0101100100000000000
3110121121101200120210112
41322321110230200000
54130222301311432
6140342030450452
712351022303532
oct1727124544000
9417541616715
10131958228992
1150a65a865a7
12216a8663a28
13c59c7b5205
14655b5ad852
153674c247b2
hex1eb952c800

131958228992 has 108 divisors (see below), whose sum is σ = 276615214785. Its totient is φ = 62929625088.

The previous prime is 131958228979. The next prime is 131958229033. The reversal of 131958228992 is 299822859131.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 124287271936 + 7670957056 = 352544^2 + 87584^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=256864.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 378103634 + ... + 378103982.

Almost surely, 2131958228992 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 131958228992

131958228992 is an abundant number, since it is smaller than the sum of its proper divisors (144656985793).

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

131958228992 is an frugal number, since it uses more digits than its factorization.

131958228992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 374 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 59.

The spelling of 131958228992 in words is "one hundred thirty-one billion, nine hundred fifty-eight million, two hundred twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 349 368 512 529 698 736 1024 1058 1396 1472 2048 2116 2792 2944 4232 5584 5888 8027 8464 11168 11776 16054 16928 22336 23552 32108 33856 44672 47104 64216 67712 89344 121801 128432 135424 178688 184621 243602 256864 270848 357376 369242 487204 513728 541696 714752 738484 974408 1027456 1083392 1476968 1948816 2054912 2801423 2953936 3897632 4109824 5602846 5907872 7795264 8219648 11205692 11815744 15590528 16439296 22411384 23631488 31181056 44822768 47262976 62362112 64432729 89645536 94525952 124724224 128865458 179291072 189051904 249448448 257730916 358582144 378103808 515461832 717164288 1030923664 1434328576 2061847328 2868657152 4123694656 5737314304 8247389312 16494778624 32989557248 65979114496 131958228992