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116562203002064 = 241729617122319583
BaseRepresentation
bin11010100000001101000000…
…101101000100010011010000
3120021201020102100012221201002
4122200031000231010103100
5110234223342432031224
61051523534204201132
733360225023636561
oct3240150055042320
9507636370187632
10116562203002064
113415a830908166
12110a6651b391a8
1350069cb74c101
1420ad8d8226168
15d720b51429ae
hex6a0340b444d0

116562203002064 has 160 divisors (see below), whose sum is σ = 247985762181120. Its totient is φ = 52829556555776.

The previous prime is 116562203002033. The next prime is 116562203002067. The reversal of 116562203002064 is 460200302265611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116562203002067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5952204017 + ... + 5952223599.

It is an arithmetic number, because the mean of its divisors is an integer number (1549911013632).

Almost surely, 2116562203002064 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 116562203002064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123992881090560).

116562203002064 is an abundant number, since it is smaller than the sum of its proper divisors (131423559179056).

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

116562203002064 is a wasteful number, since it uses less digits than its factorization.

116562203002064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21477 (or 21471 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

Adding to 116562203002064 its reverse (460200302265611), we get a palindrome (576762505267675).

The spelling of 116562203002064 in words is "one hundred sixteen trillion, five hundred sixty-two billion, two hundred three million, two thousand, sixty-four".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 272 464 493 617 986 1223 1234 1972 2446 2468 3944 4892 4936 7888 9784 9872 10489 17893 19568 19583 20791 20978 35467 35786 39166 41582 41956 70934 71572 78332 83164 83912 141868 143144 156664 166328 167824 283736 286288 304181 313328 332656 332911 567472 567907 602939 608362 665822 754591 1135814 1205878 1216724 1331644 1509182 2271628 2411756 2433448 2663288 3018364 4543256 4823512 4866896 5326576 6036728 9086512 9647024 9654419 12073456 12082711 12828047 19308838 21883139 23950009 24165422 25656094 38617676 43766278 47900018 48330844 51312188 77235352 87532556 95800036 96661688 102624376 154470704 175065112 191600072 193323376 205248752 205406087 350130224 350398619 372013363 383200144 407150153 410812174 694550261 700797238 744026726 814300306 821624348 1389100522 1401594476 1488053452 1628600612 1643248696 2778201044 2803188952 2976106904 3257201224 3286497392 5556402088 5606377904 5952213808 5956776523 6514402448 11112804176 11807354437 11913553046 14777155553 23614708874 23827106092 29554311106 47229417748 47654212184 59108622212 94458835496 95308424368 118217244424 188917670992 236434488848 251211644401 428537511037 502423288802 857075022074 1004846577604 1714150044148 2009693155208 3428300088296 4019386310416 6856600176592 7285137687629 14570275375258 29140550750516 58281101501032 116562203002064