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5040998873344 = 287191307113279
BaseRepresentation
bin100100101011011001011…
…1100100111100100000000
3122211220200212201200112201
41021112302330213210000
51130042431202421334
614415445232402544
71030125436302130
oct111266274474400
918756625650481
105040998873344
11167396a499965
12694b903a6454
132a749707ac35
14135db288aac0
158b1dbc65c14
hex495b2f27900

5040998873344 has 144 divisors (see below), whose sum is σ = 12114398822400. Its totient is φ = 2045137324032.

The previous prime is 5040998873333. The next prime is 5040998873369. The reversal of 5040998873344 is 4433788990405.

It is a Harshad number since it is a multiple of its sum of digits (64).

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, 44444097 + ... + 44557375.

It is an arithmetic number, because the mean of its divisors is an integer number (84127769600).

Almost surely, 25040998873344 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 5040998873344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6057199411200).

5040998873344 is an abundant number, since it is smaller than the sum of its proper divisors (7073399949056).

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

5040998873344 is a wasteful number, since it uses less digits than its factorization.

5040998873344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114628 (or 114614 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 64.

The spelling of 5040998873344 in words is "five trillion, forty billion, nine hundred ninety-eight million, eight hundred seventy-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 532 608 896 1064 1216 1307 1792 2128 2432 2614 4256 4864 5228 8512 9149 10456 17024 18298 20912 24833 34048 36596 41824 49666 73192 83648 99332 113279 146384 167296 173831 198664 226558 292768 334592 347662 397328 453116 585536 695324 792953 794656 906232 1171072 1390648 1585906 1589312 1812464 2152301 2342144 2781296 3171812 3178624 3624928 4304602 5562592 6343624 6357248 7249856 8609204 11125184 12687248 14499712 15066107 17218408 22250368 25374496 28999424 30132214 34436816 44500736 50748992 60264428 68873632 101497984 120528856 137747264 148055653 202995968 241057712 275494528 296111306 482115424 550989056 592222612 964230848 1036389571 1184445224 1928461696 2072779142 2368890448 2813057407 3856923392 4145558284 4737780896 5626114814 8291116568 9475561792 11252229628 16582233136 18951123584 19691401849 22504459256 33164466272 37902247168 39382803698 45008918512 66328932544 78765607396 90017837024 132657865088 157531214792 180035674048 265315730176 315062429584 360071348096 630124859168 720142696192 1260249718336 2520499436672 5040998873344