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5066352286956 = 22323797139282101
BaseRepresentation
bin100100110111001101000…
…1000001101110011101100
3122221100010210122112200200
41021232122020031303230
51131001342141140311
614435241120153500
71032013634615652
oct111563210156354
918840123575620
105066352286956
11168369a871854
12699a87168890
132a99a789431c
141372d9b4cdd2
158bbc2998556
hex49b9a20dcec

5066352286956 has 144 divisors (see below), whose sum is σ = 13383979583520. Its totient is φ = 1614496665600.

The previous prime is 5066352286951. The next prime is 5066352287023. The reversal of 5066352286956 is 6596822536605.

5066352286956 is a `hidden beast` number, since 50 + 6 + 6 + 3 + 522 + 8 + 6 + 9 + 56 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5066352286893 and 5066352286902.

It is not an unprimeable number, because it can be changed into a prime (5066352286951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17818306 + ... + 18100406.

Almost surely, 25066352286956 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 5066352286956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6691989791760).

5066352286956 is an abundant number, since it is smaller than the sum of its proper divisors (8317627296564).

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

5066352286956 is a wasteful number, since it uses less digits than its factorization.

5066352286956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282384 (or 282379 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 63.

The spelling of 5066352286956 in words is "five trillion, sixty-six billion, three hundred fifty-two million, two hundred eighty-six thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 97 111 139 148 194 222 278 291 333 388 417 444 556 582 666 834 873 1164 1251 1332 1668 1746 2502 3492 3589 5004 5143 7178 10286 10767 13483 14356 15429 20572 21534 26966 30858 32301 40449 43068 46287 53932 61716 64602 80898 92574 121347 129204 161796 185148 242694 282101 485388 498871 564202 846303 997742 1128404 1496613 1692606 1995484 2538909 2993226 3385212 4489839 5077818 5986452 8979678 10155636 10437737 17959356 20875474 27363797 31313211 39212039 41750948 54727594 62626422 78424078 82091391 93939633 109455188 117636117 125252844 156848156 164182782 187879266 235272234 246274173 328365564 352908351 375758532 470544468 492548346 705816702 985096692 1012460489 1411633404 1450845443 2024920978 2901690886 3037381467 3803567783 4049841956 4352536329 5803381772 6074762934 7607135566 8705072658 9112144401 11410703349 12149525868 13057608987 15214271132 17410145316 18224288802 22821406698 26115217974 34232110047 36448577604 45642813396 52230435948 68464220094 136928440188 140732007971 281464015942 422196023913 562928031884 844392047826 1266588071739 1688784095652 2533176143478 5066352286956