Search a number
-
+
15030806757120 = 2835571117192967
BaseRepresentation
bin1101101010111010000111…
…1001011011111100000000
31222012221010202200210100000
43122232201321123330000
53432231043012211440
651545020213200000
73110640255254040
oct332564171337400
958187122623300
1015030806757120
114875590620130
1218290a2930000
1385052579224b
1439d6d0127720
151b0ebbeec730
hexdaba1e5bf00

15030806757120 has 6912 divisors, whose sum is σ = 78682370457600. Its totient is φ = 2648687247360.

The previous prime is 15030806757079. The next prime is 15030806757121. The reversal of 15030806757120 is 2175760803051.

It is a happy number.

15030806757120 is a `hidden beast` number, since 1 + 50 + 3 + 0 + 8 + 0 + 6 + 7 + 571 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15030806757121) by changing a digit.

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, 224340399327 + ... + 224340399393.

It is an arithmetic number, because the mean of its divisors is an integer number (11383444800).

Almost surely, 215030806757120 is an apocalyptic number.

15030806757120 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 15030806757120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39341185228800).

15030806757120 is an abundant number, since it is smaller than the sum of its proper divisors (63651563700480).

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

15030806757120 is a wasteful number, since it uses less digits than its factorization.

15030806757120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 15030806757120 in words is "fifteen trillion, thirty billion, eight hundred six million, seven hundred fifty-seven thousand, one hundred twenty".