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116653243952 = 2472417334951
BaseRepresentation
bin110110010100100010…
…0110011111000110000
3102011002202122210021202
41230221010303320300
53402401212301302
6125331215510332
711266530133100
oct1545104637060
9364082583252
10116653243952
1145521795833
121a736b283a8
13b000a1434b
145908a79200
15307b269202
hex1b29133e30

116653243952 has 120 divisors (see below), whose sum is σ = 269750672352. Its totient is φ = 48698496000.

The previous prime is 116653243919. The next prime is 116653243957. The reversal of 116653243952 is 259342356611.

It is a junction number, because it is equal to n+sod(n) for n = 116653243897 and 116653243906.

It is not an unprimeable number, because it can be changed into a prime (116653243957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23559077 + ... + 23564027.

Almost surely, 2116653243952 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 116653243952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134875336176).

116653243952 is an abundant number, since it is smaller than the sum of its proper divisors (153097428400).

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

116653243952 is a wasteful number, since it uses less digits than its factorization.

116653243952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5747 (or 5734 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 47.

The spelling of 116653243952 in words is "one hundred sixteen billion, six hundred fifty-three million, two hundred forty-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 41 49 56 82 98 112 164 196 287 328 392 574 656 733 784 1148 1466 2009 2296 2932 4018 4592 4951 5131 5864 8036 9902 10262 11728 16072 19804 20524 30053 32144 34657 35917 39608 41048 60106 69314 71834 79216 82096 120212 138628 143668 202991 210371 240424 242599 277256 287336 405982 420742 480848 485198 554512 574672 811964 841484 970396 1420937 1472597 1623928 1682968 1940792 2841874 2945194 3247856 3365936 3629083 3881584 5683748 5890388 7258166 9946559 11367496 11780776 14516332 19893118 22734992 23561552 25403581 29032664 39786236 50807162 58065328 79572472 101614324 148792403 159144944 177825067 203228648 297584806 355650134 406457296 595169612 711300268 1041546821 1190339224 1422600536 2083093642 2380678448 2845201072 4166187284 7290827747 8332374568 14581655494 16664749136 29163310988 58326621976 116653243952