Search a number
-
+
1023348292464 = 24321319756093
BaseRepresentation
bin11101110010001000100…
…11111011101101110000
310121211102220100120111210
432321010103323231300
5113231304130324324
62102041505240120
7133635344651361
oct16710423735560
93554386316453
101023348292464
11364aaa483673
121463b9333040
1375669563904
143775d2b9b68
151b946423d29
hexee444fbb70

1023348292464 has 20 divisors (see below), whose sum is σ = 2643649755656. Its totient is φ = 341116097472.

The previous prime is 1023348292331. The next prime is 1023348292481. The reversal of 1023348292464 is 4642928433201.

It is a super-3 number, since 3×10233482924643 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 21319756093 = 1023348292464 / (1 + 0 + 2 + 3 + 3 + 4 + 8 + 2 + 9 + 2 + 4 + 6 + 4).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10659877999 + ... + 10659878094.

Almost surely, 21023348292464 is an apocalyptic number.

It is an amenable number.

1023348292464 is an abundant number, since it is smaller than the sum of its proper divisors (1620301463192).

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

1023348292464 is a wasteful number, since it uses less digits than its factorization.

1023348292464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21319756104 (or 21319756098 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 1023348292464 in words is "one trillion, twenty-three billion, three hundred forty-eight million, two hundred ninety-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 21319756093 42639512186 63959268279 85279024372 127918536558 170558048744 255837073116 341116097488 511674146232 1023348292464