Search a number
-
+
2591893924096 = 281006212
BaseRepresentation
bin100101101101111000111…
…010101010100100000000
3100011210010112200120202211
4211231320322222210000
5314431144321032341
65302411041551504
7355154355563521
oct45557072524400
910153115616684
102591893924096
1190a2416055a4
1235a3b0045594
1315a5509bb559
148d63c336848
154764b39a181
hex25b78eaa900

2591893924096 has 27 divisors (see below), whose sum is σ = 5173714680393. Its totient is φ = 1295934082560.

The previous prime is 2591893924063. The next prime is 2591893924127. The reversal of 2591893924096 is 6904293981952.

The square root of 2591893924096 is 1609936.

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

It can be written as a sum of positive squares in only one way, i.e., 2387445258496 + 204448665600 = 1545136^2 + 452160^2 .

It is a super-2 number, since 2×25918939240962 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 25708666 + ... + 25809286.

Almost surely, 22591893924096 is an apocalyptic number.

2591893924096 is the 1609936-th square number.

It is an amenable number.

2591893924096 is a deficient number, since it is larger than the sum of its proper divisors (2581820756297).

2591893924096 is an frugal number, since it uses more digits than its factorization.

2591893924096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201258 (or 100623 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 67.

The spelling of 2591893924096 in words is "two trillion, five hundred ninety-one billion, eight hundred ninety-three million, nine hundred twenty-four thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 100621 201242 402484 804968 1609936 3219872 6439744 12879488 25758976 10124585641 20249171282 40498342564 80996685128 161993370256 323986740512 647973481024 1295946962048 2591893924096