Search a number
-
+
1055825367552 = 2932151372
BaseRepresentation
bin11110101110101000001…
…10001001001000000000
310201221021021200221002200
433113110012021020000
5114244312243230202
62125012305513200
7136165223355444
oct17272406111000
93657237627080
101055825367552
1137785599289a
12150761942800
1378743b8c5c7
14391606c8824
151c6e774ae1c
hexf5d4189200

1055825367552 has 90 divisors (see below), whose sum is σ = 3047384819193. Its totient is φ = 351918538752.

The previous prime is 1055825367547. The next prime is 1055825367557. The reversal of 1055825367552 is 2557635285501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1055825367552 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 8 + 25 + 3 + 67 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (1055825367547) and next prime (1055825367557).

It can be written as a sum of positive squares in 2 ways, for example, as 1044026194176 + 11799173376 = 1021776^2 + 108624^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=726576.

It is a super-2 number, since 2×10558253675522 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1055825367557) 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, 69743728 + ... + 69758864.

Almost surely, 21055825367552 is an apocalyptic number.

1055825367552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1055825367552 is an abundant number, since it is smaller than the sum of its proper divisors (1991559451641).

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

1055825367552 is an frugal number, since it uses more digits than its factorization.

1055825367552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30298 (or 15142 counting only the distinct ones).

The product of its (nonzero) digits is 12600000, while the sum is 54.

The spelling of 1055825367552 in words is "one trillion, fifty-five billion, eight hundred twenty-five million, three hundred sixty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 15137 30274 45411 60548 90822 121096 136233 181644 242192 272466 363288 484384 544932 726576 968768 1089864 1453152 1937536 2179728 2906304 3875072 4359456 5812608 7750144 8718912 11625216 17437824 23250432 34875648 69751296 229128769 458257538 687386307 916515076 1374772614 1833030152 2062158921 2749545228 3666060304 4124317842 5499090456 7332120608 8248635684 10998180912 14664241216 16497271368 21996361824 29328482432 32994542736 43992723648 58656964864 65989085472 87985447296 117313929728 131978170944 175970894592 263956341888 351941789184 527912683776 1055825367552