Search a number
-
+
1015704798992 = 241321481253633
BaseRepresentation
bin11101100011111001011…
…10010100011100010000
310121002201012202212121222
432301330232110130100
5113120130412031432
62054335222504212
7133245053225012
oct16617456243420
93532635685558
101015704798992
11361837974914
12144a25595068
1374a1bb44400
14372360d41b2
151b64a39a112
hexec7cb94710

1015704798992 has 60 divisors (see below), whose sum is σ = 2132398940724. Its totient is φ = 468468449280.

The previous prime is 1015704798967. The next prime is 1015704799001. The reversal of 1015704798992 is 2998974075101.

1015704798992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 244427404816 + 771277394176 = 494396^2 + 878224^2 .

It is a super-3 number, since 3×10157047989923 (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3877808 + ... + 4131440.

Almost surely, 21015704798992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1015704798992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066199470362).

1015704798992 is an abundant number, since it is smaller than the sum of its proper divisors (1116694141732).

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

1015704798992 is a wasteful number, since it uses less digits than its factorization.

1015704798992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255148 (or 255129 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 62.

The spelling of 1015704798992 in words is "one trillion, fifteen billion, seven hundred four million, seven hundred ninety-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 1481 2704 2962 5924 11848 19253 23696 38506 77012 154024 250289 253633 308048 500578 507266 1001156 1014532 2002312 2029064 3297229 4004624 4058128 6594458 13188916 26377832 42863977 52755664 85727954 171455908 342911816 375630473 685823632 751260946 1502521892 3005043784 4883196149 6010087568 9766392298 19532784596 39065569192 63481549937 78131138384 126963099874 253926199748 507852399496 1015704798992