Search a number
-
+
13470471866880 = 293357219353593
BaseRepresentation
bin1100010000000101011010…
…1100001100101000000000
31202200202122100022122211000
43010001112230030220000
53231200011244220010
644352125505252000
72560131564444300
oct304012654145000
952622570278730
1013470471866880
114323882215796
121616801934000
1376934c425b72
14347d8d751600
151855e7ced7c0
hexc4056b0ca00

13470471866880 has 1920 divisors, whose sum is σ = 58854738412800. Its totient is φ = 2903746019328.

The previous prime is 13470471866869. The next prime is 13470471867007. The reversal of 13470471866880 is 8866817407431.

13470471866880 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 0 + 471 + 86 + 6 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×134704718668802 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22715803864 + ... + 22715804456.

It is an arithmetic number, because the mean of its divisors is an integer number (30653509590).

Almost surely, 213470471866880 is an apocalyptic number.

13470471866880 is a gapful number since it is divisible by the number (10) 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 13470471866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29427369206400).

13470471866880 is an abundant number, since it is smaller than the sum of its proper divisors (45384266545920).

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

13470471866880 is a wasteful number, since it uses less digits than its factorization.

13470471866880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 13470471866880 in words is "thirteen trillion, four hundred seventy billion, four hundred seventy-one million, eight hundred sixty-six thousand, eight hundred eighty".