Search a number
-
+
5999468259456 = 273872314703
BaseRepresentation
bin101011101001101110000…
…1011001010100010000000
3210020112200020222100000000
41113103130023022202000
51241243402333300311
620432041230000000
71156306262536200
oct127233413124200
923215606870000
105999468259456
111a033a6476961
1280a8a1946000
13346994143719
1416a539334400
15a60d7450056
hex574dc2ca880

5999468259456 has 864 divisors, whose sum is σ = 21531364807680. Its totient is φ = 1658486430720.

The previous prime is 5999468259401. The next prime is 5999468259469. The reversal of 5999468259456 is 6549528649995.

5999468259456 is a `hidden beast` number, since 5 + 9 + 99 + 468 + 25 + 9 + 45 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×59994682594562 (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1275666001 + ... + 1275670703.

It is an arithmetic number, because the mean of its divisors is an integer number (24920561120).

Almost surely, 25999468259456 is an apocalyptic number.

5999468259456 is a gapful number since it is divisible by the number (56) 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 5999468259456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10765682403840).

5999468259456 is an abundant number, since it is smaller than the sum of its proper divisors (15531896548224).

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

5999468259456 is an frugal number, since it uses more digits than its factorization.

5999468259456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4786 (or 4746 counting only the distinct ones).

The product of its digits is 7558272000, while the sum is 81.

The spelling of 5999468259456 in words is "five trillion, nine hundred ninety-nine billion, four hundred sixty-eight million, two hundred fifty-nine thousand, four hundred fifty-six".