Search a number
-
+
106970004480 = 2103523302791
BaseRepresentation
bin110001110011111101…
…0001011110000000000
3101020002220221020220210
41203213322023300000
53223033310120410
6121050310234120
710504550015163
oct1434772136000
9336086836823
10106970004480
1141402862689
1218894055940
13a119842751
14526aa0dada
152bb10cb220
hex18e7e8bc00

106970004480 has 176 divisors, whose sum is σ = 357013569024. Its totient is φ = 27285012480.

The previous prime is 106970004467. The next prime is 106970004481. The reversal of 106970004480 is 84400079601.

It is a happy number.

It is a super-2 number, since 2×1069700044802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106970004481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201885 + ... + 504675.

Almost surely, 2106970004480 is an apocalyptic number.

106970004480 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 106970004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178506784512).

106970004480 is an abundant number, since it is smaller than the sum of its proper divisors (250043564544).

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

106970004480 is a wasteful number, since it uses less digits than its factorization.

106970004480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302842 (or 302824 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 106970004480 in words is "one hundred six billion, nine hundred seventy million, four thousand, four hundred eighty".