Search a number
-
+
1002932341824 = 26372295936199
BaseRepresentation
bin11101001100000110110…
…11010000110001000000
310112212202002010211020210
432212003123100301000
5112413001134414244
62044424000434120
7132313412150400
oct16460333206100
93485662124223
101002932341824
11357383184796
12142460018940
137376495144a
1436783a7a800
151b14dde34b9
hexe9836d0c40

1002932341824 has 336 divisors, whose sum is σ = 3199174704000. Its totient is φ = 276159873024.

The previous prime is 1002932341799. The next prime is 1002932341837. The reversal of 1002932341824 is 4281432392001.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161786277 + ... + 161792475.

Almost surely, 21002932341824 is an apocalyptic number.

1002932341824 is a gapful number since it is divisible by the number (14) 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 1002932341824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599587352000).

1002932341824 is an abundant number, since it is smaller than the sum of its proper divisors (2196242362176).

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

1002932341824 is a wasteful number, since it uses less digits than its factorization.

1002932341824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6850 (or 6833 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 1002932341824 in words is "one trillion, two billion, nine hundred thirty-two million, three hundred forty-one thousand, eight hundred twenty-four".