Search a number
-
+
38946233104 = 2410324792
BaseRepresentation
bin100100010001011000…
…000101101100010000
310201112020012122001221
4210101120011230100
51114230213424404
625520332534424
72546060343052
oct442130055420
9121466178057
1038946233104
1115576151409
12766b021414
13389896b55c
141c566658d2
15102e234954
hex911605b10

38946233104 has 45 divisors (see below), whose sum is σ = 76357453863. Its totient is φ = 19243798176.

The previous prime is 38946233099. The next prime is 38946233129. The reversal of 38946233104 is 40133264983.

The square root of 38946233104 is 197348.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×389462331042 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 81307137 + ... + 81307615.

Almost surely, 238946233104 is an apocalyptic number.

38946233104 is the 197348-th square number.

It is an amenable number.

38946233104 is a deficient number, since it is larger than the sum of its proper divisors (37411220759).

38946233104 is an frugal number, since it uses more digits than its factorization.

38946233104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 43.

The spelling of 38946233104 in words is "thirty-eight billion, nine hundred forty-six million, two hundred thirty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 103 206 412 479 824 958 1648 1916 3832 7664 10609 21218 42436 49337 84872 98674 169744 197348 229441 394696 458882 789392 917764 1835528 3671056 5081711 10163422 20326844 23632423 40653688 47264846 81307376 94529692 189059384 378118768 2434139569 4868279138 9736558276 19473116552 38946233104