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1099212593940 = 22325431129912569
BaseRepresentation
bin11111111111011100010…
…11010001101100010100
310220002021000102101200100
433333232023101230110
5121002141411001230
62200545444414100
7142262340613026
oct17775613215424
93802230371610
101099212593940
1139419a94218a
121590500a7330
137c869914826
143b2b8a9a016
151d8d67b5660
hexffee2d1b14

1099212593940 has 144 divisors (see below), whose sum is σ = 3412392984000. Its totient is φ = 286258420224.

The previous prime is 1099212593879. The next prime is 1099212593951. The reversal of 1099212593940 is 493952129901.

1099212593940 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 2 + 1 + 2 + 593 + 9 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87447976 + ... + 87460544.

It is an arithmetic number, because the mean of its divisors is an integer number (23697173500).

Almost surely, 21099212593940 is an apocalyptic number.

1099212593940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1099212593940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706196492000).

1099212593940 is an abundant number, since it is smaller than the sum of its proper divisors (2313180390060).

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

1099212593940 is a wasteful number, since it uses less digits than its factorization.

1099212593940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23926 (or 23921 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 1099212593940 in words is "one trillion, ninety-nine billion, two hundred twelve million, five hundred ninety-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 11299 12569 22598 25138 33897 37707 45196 50276 56495 62845 67794 75414 101691 112990 113121 125690 135588 150828 169485 188535 203382 225980 226242 251380 338970 377070 406764 452484 485857 508455 540467 565605 677940 754140 971714 1016910 1080934 1131210 1457571 1621401 1943428 2033820 2161868 2262420 2429285 2702335 2915142 3242802 4372713 4858570 4864203 5404670 5830284 6485604 7287855 8107005 8745426 9717140 9728406 10809340 14575710 16214010 17490852 19456812 21863565 24321015 29151420 32428020 43727130 48642030 87454260 97284060 142017131 284034262 426051393 568068524 710085655 852102786 1278154179 1420171310 1704205572 2130256965 2556308358 2840342620 4260513930 5112616716 6106736633 6390770895 8521027860 12213473266 12781541790 18320209899 24426946532 25563083580 30533683165 36640419798 54960629697 61067366330 73280839596 91601049495 109921259394 122134732660 183202098990 219842518788 274803148485 366404197980 549606296970 1099212593940