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4994118240 = 253513179423
BaseRepresentation
bin1001010011010110…
…00011001001100000
3110220001022111022020
410221223003021200
540211443240430
62143321141440
7234521206326
oct45153031140
913801274266
104994118240
11213305aa51
12b7462a880
1361787c667
143553add16
151e3693b10
hex129ac3260

4994118240 has 96 divisors (see below), whose sum is σ = 15851759616. Its totient is φ = 1321582080.

The previous prime is 4994118229. The next prime is 4994118301. The reversal of 4994118240 is 428114994.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 4994118192 and 4994118201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23169 + ... + 102591.

It is an arithmetic number, because the mean of its divisors is an integer number (165122496).

Almost surely, 24994118240 is an apocalyptic number.

4994118240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4994118240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7925879808).

4994118240 is an abundant number, since it is smaller than the sum of its proper divisors (10857641376).

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

4994118240 is a wasteful number, since it uses less digits than its factorization.

4994118240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79572 (or 79564 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 4994118240 is about 70669.0755564271. The cubic root of 4994118240 is about 1709.3051723774.

The spelling of 4994118240 in words is "four billion, nine hundred ninety-four million, one hundred eighteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 131 160 240 262 393 480 524 655 786 1048 1310 1572 1965 2096 2620 3144 3930 4192 5240 6288 7860 10480 12576 15720 20960 31440 62880 79423 158846 238269 317692 397115 476538 635384 794230 953076 1191345 1270768 1588460 1906152 2382690 2541536 3176920 3812304 4765380 6353840 7624608 9530760 10404413 12707680 19061520 20808826 31213239 38123040 41617652 52022065 62426478 83235304 104044130 124852956 156066195 166470608 208088260 249705912 312132390 332941216 416176520 499411824 624264780 832353040 998823648 1248529560 1664706080 2497059120 4994118240