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2488930105896 = 23321317156418433
BaseRepresentation
bin100100001101111111110…
…010110111101000101000
322210221100211002200021200
4210031333302313220220
5311234312101342041
65143222042004200
7344551002555603
oct44157762675050
98727324080250
102488930105896
1187a605181a73
123424557a6660
13150922155240
148867180b33a
1544b21d671b6
hex2437fcb7a28

2488930105896 has 96 divisors (see below), whose sum is σ = 7686401846760. Its totient is φ = 720776134656.

The previous prime is 2488930105891. The next prime is 2488930105901. The reversal of 2488930105896 is 6985010398842.

2488930105896 is a `hidden beast` number, since 2 + 4 + 8 + 8 + 9 + 30 + 10 + 589 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2488930105891) and next prime (2488930105901).

It can be written as a sum of positive squares in 4 ways, for example, as 1297972589796 + 1190957516100 = 1139286^2 + 1091310^2 .

It is a super-3 number, since 3×24889301058963 (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2488930105891) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 78193305 + ... + 78225128.

Almost surely, 22488930105896 is an apocalyptic number.

2488930105896 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2488930105896 is an abundant number, since it is smaller than the sum of its proper divisors (5197471740864).

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

2488930105896 is a wasteful number, since it uses less digits than its factorization.

2488930105896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156418475 (or 156418468 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 2488930105896 in words is "two trillion, four hundred eighty-eight billion, nine hundred thirty million, one hundred five thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 34 36 39 51 52 68 72 78 102 104 117 136 153 156 204 221 234 306 312 408 442 468 612 663 884 936 1224 1326 1768 1989 2652 3978 5304 7956 15912 156418433 312836866 469255299 625673732 938510598 1251347464 1407765897 1877021196 2033439629 2659113361 2815531794 3754042392 4066879258 5318226722 5631063588 6100318887 7977340083 8133758516 10636453444 11262127176 12200637774 15954680166 16267517032 18300956661 21272906888 23932020249 24401275548 31909360332 34568473693 36601913322 47864040498 48802551096 63818720664 69136947386 73203826644 95728080996 103705421079 138273894772 146407653288 191456161992 207410842158 276547789544 311116263237 414821684316 622232526474 829643368632 1244465052948 2488930105896