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5340413162568 = 23311163380332633
BaseRepresentation
bin100110110110110100101…
…1011011111010001001000
3200220112112120112112011010
41031231221123133101020
51144444131232200233
615205204004003520
71060555262621061
oct115555133372110
920815476475133
105340413162568
111779947007a70
127230116905a0
132c97a2744c03
14146697cc5568
1593db2ccab63
hex4db696df448

5340413162568 has 128 divisors (see below), whose sum is σ = 14658420026880. Its totient is φ = 1607906557440.

The previous prime is 5340413162537. The next prime is 5340413162593. The reversal of 5340413162568 is 8652613140435.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 163634380 + ... + 163667012.

It is an arithmetic number, because the mean of its divisors is an integer number (114518906460).

Almost surely, 25340413162568 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 5340413162568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7329210013440).

5340413162568 is an abundant number, since it is smaller than the sum of its proper divisors (9318006864312).

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

5340413162568 is a wasteful number, since it uses less digits than its factorization.

5340413162568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36619 (or 36615 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 5340413162568 in words is "five trillion, three hundred forty billion, four hundred thirteen million, one hundred sixty-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 163 264 326 489 652 978 1304 1793 1956 3586 3803 3912 5379 7172 7606 10758 11409 14344 15212 21516 22818 30424 32633 41833 43032 45636 65266 83666 91272 97899 125499 130532 167332 195798 250998 261064 334664 358963 391596 501996 619889 717926 783192 1003992 1076889 1239778 1435852 1859667 2153778 2479556 2871704 3719334 4307556 4959112 5319179 6818779 7438668 8615112 10638358 13637558 14877336 15957537 20456337 21276716 27275116 31915074 40912674 42553432 54550232 58510969 63830148 81825348 117021938 124103299 127660296 163650696 175532907 234043876 248206598 351065814 372309897 468087752 496413196 702131628 744619794 992826392 1365136289 1404263256 1489239588 2730272578 2978479176 4095408867 5460545156 8190817734 10921090312 16381635468 20228837737 32763270936 40457675474 60686513211 80915350948 121373026422 161830701896 222517215107 242746052844 445034430214 485492105688 667551645321 890068860428 1335103290642 1780137720856 2670206581284 5340413162568