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268484998695120 = 2437517293124179
BaseRepresentation
bin111101000010111110001000…
…111110011000100011010000
31022012121220201012000110000000
4331002332020332120203100
5240142324234131220440
62351004150005130000
7110360254361336334
oct7502761076304320
91265556635013000
10268484998695120
1178602937412759
12261422369b9900
13b6a704699730c
144a42a597797c4
152108d9e719730
hexf42f88f988d0

268484998695120 has 3840 divisors, whose sum is σ = 1099180647936000. Its totient is φ = 60648918220800.

The previous prime is 268484998695119. The next prime is 268484998695143. The reversal of 268484998695120 is 21596899484862.

268484998695120 is a `hidden beast` number, since 2 + 6 + 8 + 4 + 8 + 4 + 9 + 98 + 6 + 9 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 268484998695120.

It is a congruent number.

It is an unprimeable number.

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 767 ways as a sum of consecutive naturals, for example, 3398544287241 + ... + 3398544287319.

It is an arithmetic number, because the mean of its divisors is an integer number (286244960400).

Almost surely, 2268484998695120 is an apocalyptic number.

268484998695120 is a gapful number since it is divisible by the number (20) 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 268484998695120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549590323968000).

268484998695120 is an abundant number, since it is smaller than the sum of its proper divisors (830695649240880).

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

268484998695120 is a wasteful number, since it uses less digits than its factorization.

268484998695120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 4299816960, while the sum is 81.

The spelling of 268484998695120 in words is "two hundred sixty-eight trillion, four hundred eighty-four billion, nine hundred ninety-eight million, six hundred ninety-five thousand, one hundred twenty".