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248117198504 = 23722414795483
BaseRepresentation
bin1110011100010011101…
…1111111111010101000
3212201102201021122000112
43213010323333322220
513031121000323004
6305552232353452
723632401250400
oct3470473777250
9781381248015
10248117198504
119625376565a
1240105b45888
131a521c9a576
14c01a743800
1566c28a6e6e
hex39c4effea8

248117198504 has 96 divisors (see below), whose sum is σ = 544653331200. Its totient is φ = 105654366720.

The previous prime is 248117198503. The next prime is 248117198519. The reversal of 248117198504 is 405891711842.

It is not an unprimeable number, because it can be changed into a prime (248117198503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45249347 + ... + 45254829.

It is an arithmetic number, because the mean of its divisors is an integer number (5673472200).

Almost surely, 2248117198504 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 248117198504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272326665600).

248117198504 is an abundant number, since it is smaller than the sum of its proper divisors (296536132696).

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

248117198504 is a wasteful number, since it uses less digits than its factorization.

248117198504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6223 (or 6212 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 50.

The spelling of 248117198504 in words is "two hundred forty-eight billion, one hundred seventeen million, one hundred ninety-eight thousand, five hundred four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 241 392 479 482 958 964 1687 1916 1928 3353 3374 3832 5483 6706 6748 10966 11809 13412 13496 21932 23471 23618 26824 38381 43864 46942 47236 76762 93884 94472 115439 153524 187768 230878 268667 307048 461756 537334 808073 923512 1074668 1321403 1616146 2149336 2626357 2642806 3232292 5252714 5285612 5656511 6464584 9249821 10505428 10571224 11313022 18384499 18499642 21010856 22626044 36768998 36999284 45252088 64748747 73537996 73998568 128691493 129497494 147075992 257382986 258994988 514765972 517989976 632952037 1029531944 1265904074 2531808148 4430664259 5063616296 8861328518 17722657036 31014649813 35445314072 62029299626 124058599252 248117198504