Search a number
-
+
1125186319504 = 24132203992
BaseRepresentation
bin10000010111111010010…
…101001011010010010000
310222120022011120100212001
4100113322111023102100
5121413340144211004
62220523051443344
7144202110624322
oct20277225132220
93876264510761
101125186319504
113a4209386685
1216209a756554
1382148ab8c00
143c6604b1612
151e406bc91a4
hex105fa54b490

1125186319504 has 45 divisors (see below), whose sum is σ = 2360759956473. Its totient is φ = 519291304896.

The previous prime is 1125186319501. The next prime is 1125186319507. The reversal of 1125186319504 is 4059136815211.

The square root of 1125186319504 is 1060748.

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

It is an interprime number because it is at equal distance from previous prime (1125186319501) and next prime (1125186319507).

It can be written as a sum of positive squares in only one way, i.e., 166447680400 + 958738639104 = 407980^2 + 979152^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1125186319501) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 55148697 + ... + 55169095.

Almost surely, 21125186319504 is an apocalyptic number.

1125186319504 is the 1060748-th square number.

It is an amenable number.

1125186319504 is an abundant number, since it is smaller than the sum of its proper divisors (1235573636969).

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

1125186319504 is an frugal number, since it uses more digits than its factorization.

1125186319504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40832 (or 20414 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 46.

The spelling of 1125186319504 in words is "one trillion, one hundred twenty-five billion, one hundred eighty-six million, three hundred nineteen thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 20399 40798 81596 163192 265187 326384 530374 1060748 2121496 3447431 4242992 6894862 13789724 27579448 55158896 416119201 832238402 1664476804 3328953608 5409549613 6657907216 10819099226 21638198452 43276396904 70324144969 86552793808 140648289938 281296579876 562593159752 1125186319504