Search a number
-
+
1004409757701 = 327143311125619
BaseRepresentation
bin11101001110110110111…
…11001010000000000101
310120000120001011022211100
432213123133022000011
5112424012344221301
62045230334530313
7132365132034330
oct16473337120005
93500501138740
101004409757701
11357a7113a149
121427b2966999
137393ba6701c
1436883d81617
151b1d897b286
hexe9db7ca005

1004409757701 has 24 divisors (see below), whose sum is σ = 1659230464320. Its totient is φ = 573547859136.

The previous prime is 1004409757697. The next prime is 1004409757711. The reversal of 1004409757701 is 1077579044001.

1004409757701 is a `hidden beast` number, since 1 + 0 + 0 + 440 + 97 + 57 + 70 + 1 = 666.

1004409757701 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1004409757701 - 22 = 1004409757697 is a prime.

It is a super-2 number, since 2×10044097577012 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004409757711) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5472531 + ... + 5653088.

It is an arithmetic number, because the mean of its divisors is an integer number (69134602680).

Almost surely, 21004409757701 is an apocalyptic number.

It is an amenable number.

1004409757701 is a deficient number, since it is larger than the sum of its proper divisors (654820706619).

1004409757701 is a wasteful number, since it uses less digits than its factorization.

1004409757701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11127065 (or 11127062 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 1004409757701 in words is "one trillion, four billion, four hundred nine million, seven hundred fifty-seven thousand, seven hundred one".

Divisors: 1 3 7 9 21 63 1433 4299 10031 12897 30093 90279 11125619 33376857 77879333 100130571 233637999 700913997 15943012027 47829036081 111601084189 143487108243 334803252567 1004409757701