Search a number
-
+
1015383745152 = 2734755827
BaseRepresentation
bin11101100011010011001…
…01100110001010000000
310121001212211122122120000
432301221211212022000
5113114001214321102
62054243313320000
7133234104300000
oct16615145461200
93531784578500
101015383745152
11361692720367
12144955b66000
137499a48461a
1437205600000
151b62c0cd01c
hexec69966280

1015383745152 has 480 divisors, whose sum is σ = 3525968207520. Its totient is φ = 290059854336.

The previous prime is 1015383745111. The next prime is 1015383745177. The reversal of 1015383745152 is 2515473835101.

1015383745152 is a `hidden beast` number, since 1 + 0 + 1 + 53 + 83 + 7 + 4 + 515 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1015383745098 and 1015383745107.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 174252063 + ... + 174257889.

It is an arithmetic number, because the mean of its divisors is an integer number (7345767099).

Almost surely, 21015383745152 is an apocalyptic number.

1015383745152 is a gapful number since it is divisible by the number (12) 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 1015383745152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762984103760).

1015383745152 is an abundant number, since it is smaller than the sum of its proper divisors (2510584462368).

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

1015383745152 is an frugal number, since it uses more digits than its factorization.

1015383745152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5888 (or 5839 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 1015383745152 in words is "one trillion, fifteen billion, three hundred eighty-three million, seven hundred forty-five thousand, one hundred fifty-two".