Search a number
-
+
1057276445720 = 235114635189851
BaseRepresentation
bin11110110001010101001…
…01100100010000011000
310202002000102011100010112
433120222211210100120
5114310300232230340
62125412303303452
7136246203336155
oct17305245442030
93662012140115
101057276445720
1137842aa99350
12150aa78aab88
13789156b3141
143925b2d522c
151c77ed30065
hexf62a964418

1057276445720 has 64 divisors (see below), whose sum is σ = 2600738634240. Its totient is φ = 383633712000.

The previous prime is 1057276445713. The next prime is 1057276445723. The reversal of 1057276445720 is 275446727501.

It is a super-2 number, since 2×10572764457202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057276445723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2391206 + ... + 2798645.

It is an arithmetic number, because the mean of its divisors is an integer number (40636541160).

Almost surely, 21057276445720 is an apocalyptic number.

1057276445720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057276445720 is an abundant number, since it is smaller than the sum of its proper divisors (1543462188520).

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

1057276445720 is a wasteful number, since it uses less digits than its factorization.

1057276445720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5190336 (or 5190332 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 50.

The spelling of 1057276445720 in words is "one trillion, fifty-seven billion, two hundred seventy-six million, four hundred forty-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 463 926 1852 2315 3704 4630 5093 9260 10186 18520 20372 25465 40744 50930 101860 203720 5189851 10379702 20759404 25949255 41518808 51898510 57088361 103797020 114176722 207594040 228353444 285441805 456706888 570883610 1141767220 2283534440 2402901013 4805802026 9611604052 12014505065 19223208104 24029010130 26431911143 48058020260 52863822286 96116040520 105727644572 132159555715 211455289144 264319111430 528638222860 1057276445720