Search a number
-
+
1055366414325 = 335223116358451
BaseRepresentation
bin11110101101110001011…
…11010111111111110101
310201220002022002200122000
433112320233113333311
5114242342300224300
62124454552525513
7136150651336416
oct17267057277765
93656068080560
101055366414325
1137763a911503
121506540b0899
137869ca79652
143911977980d
151c6bc2dec00
hexf5b8bd7ff5

1055366414325 has 96 divisors (see below), whose sum is σ = 2024814689280. Its totient is φ = 537917688000.

The previous prime is 1055366414317. The next prime is 1055366414353. The reversal of 1055366414325 is 5234146635501.

It is a happy number.

1055366414325 is a `hidden beast` number, since 1 + 0 + 553 + 6 + 64 + 1 + 4 + 32 + 5 = 666.

It is not a de Polignac number, because 1055366414325 - 23 = 1055366414317 is a prime.

It is a super-2 number, since 2×10553664143252 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18026350 + ... + 18084800.

It is an arithmetic number, because the mean of its divisors is an integer number (21091819680).

Almost surely, 21055366414325 is an apocalyptic number.

1055366414325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1055366414325 is a deficient number, since it is larger than the sum of its proper divisors (969448274955).

1055366414325 is a wasteful number, since it uses less digits than its factorization.

1055366414325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59656 (or 59645 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 1055366414325 in words is "one trillion, fifty-five billion, three hundred sixty-six million, four hundred fourteen thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 27 45 69 75 115 135 207 225 345 575 621 675 1035 1163 1725 3105 3489 5175 5815 10467 15525 17445 26749 29075 31401 52335 58451 80247 87225 133745 157005 175353 240741 261675 292255 401235 526059 668725 722223 785025 876765 1203705 1344373 1461275 1578177 2006175 2630295 3611115 4033119 4383825 6018525 6721865 7890885 12099357 13151475 18055575 20165595 33609325 36298071 39454425 60496785 67978513 100827975 181490355 203935539 302483925 339892565 611806617 907451775 1019677695 1563505799 1699462825 1835419851 3059033085 4690517397 5098388475 7817528995 9177099255 14071552191 15295165425 23452586985 39087644975 42214656573 45885496275 70357760955 117262934925 211073282865 351788804775 1055366414325