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91094426035600 = 2452132367092
BaseRepresentation
bin10100101101100110010010…
…111001111010010110010000
3102221112112122011202022111011
4110231212102321322112100
543414442341031114400
6521424111313500304
725121232540343261
oct2455462271722620
9387475564668434
1091094426035600
1127030a247411a9
12a272862b71694
133baa224055c00
14186cdcab9c968
15a7e895cec8ba
hex52d992e7a590

91094426035600 has 135 divisors (see below), whose sum is σ = 236990761343433. Its totient is φ = 33633948741120.

The previous prime is 91094426035573. The next prime is 91094426035607. The reversal of 91094426035600 is 653062449019.

The square root of 91094426035600 is 9544340.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 87508765670544 + 3585660365056 = 9354612^2 + 1893584^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91094426035607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2481510046 + ... + 2481546754.

Almost surely, 291094426035600 is an apocalyptic number.

91094426035600 is the 9544340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91094426035600

91094426035600 is an abundant number, since it is smaller than the sum of its proper divisors (145896335307833).

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

91094426035600 is an frugal number, since it uses more digits than its factorization.

91094426035600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73462 (or 36729 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 49.

The spelling of 91094426035600 in words is "ninety-one trillion, ninety-four billion, four hundred twenty-six million, thirty-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 169 200 208 260 325 338 400 520 650 676 845 1040 1300 1352 1690 2600 2704 3380 4225 5200 6760 8450 13520 16900 33800 36709 67600 73418 146836 183545 293672 367090 477217 587344 734180 917725 954434 1468360 1835450 1908868 2386085 2936720 3670900 3817736 4772170 6203821 7341800 7635472 9544340 11930425 12407642 14683600 19088680 23860850 24815284 31019105 38177360 47721700 49630568 62038210 95443400 99261136 124076420 155095525 190886800 248152840 310191050 496305680 620382100 1240764200 1347550681 2481528400 2695101362 5390202724 6737753405 10780405448 13475506810 17518158853 21560810896 26951013620 33688767025 35036317706 53902027240 67377534050 70072635412 87590794265 107804054480 134755068100 140145270824 175181588530 227736065089 269510136200 280290541648 350363177060 437953971325 455472130178 539020272400 700726354120 875907942650 910944260356 1138680325445 1401452708240 1751815885300 1821888520712 2277360650890 3503631770600 3643777041424 4554721301780 5693401627225 7007263541200 9109442603560 11386803254450 18218885207120 22773606508900 45547213017800 91094426035600