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1145025693378 = 23375951341839
BaseRepresentation
bin10000101010011000110…
…110011000011011000010
311001110111210211222111000
4100222120312120123002
5122230003034142003
62234003442232430
7145503542543430
oct20523066303302
94043453758430
101145025693378
1140166a175936
12165ab6955716
1383c8b1140a8
143d5c3303d50
151ebb87b71a3
hex10a98d986c2

1145025693378 has 64 divisors (see below), whose sum is σ = 2957289984000. Its totient is φ = 321605273232.

The previous prime is 1145025693347. The next prime is 1145025693379. The reversal of 1145025693378 is 8733965205411.

It is a happy number.

1145025693378 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 0 + 2 + 569 + 3 + 3 + 78 = 666.

It is a super-2 number, since 2×11450256933782 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1145025693379) 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 31 ways as a sum of consecutive naturals, for example, 25648618 + ... + 25693221.

It is an arithmetic number, because the mean of its divisors is an integer number (46207656000).

It is a 1-persistent number, because it is pandigital, but 2⋅1145025693378 = 2290051386756 is not.

Almost surely, 21145025693378 is an apocalyptic number.

1145025693378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1145025693378 is an abundant number, since it is smaller than the sum of its proper divisors (1812264290622).

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

1145025693378 is a wasteful number, since it uses less digits than its factorization.

1145025693378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51341916 (or 51341910 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

It can be divided in two parts, 1145025 and 693378, that added together give a triangular number (1838403 = T1917).

The spelling of 1145025693378 in words is "one trillion, one hundred forty-five billion, twenty-five million, six hundred ninety-three thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 59 63 118 126 177 189 354 378 413 531 826 1062 1239 1593 2478 3186 3717 7434 11151 22302 51341839 102683678 154025517 308051034 359392873 462076551 718785746 924153102 1078178619 1386229653 2156357238 2772459306 3029168501 3234535857 6058337002 6469071714 9087505503 9703607571 18175011006 19407215142 21204179507 27262516509 42408359014 54525033018 63612538521 81787549527 127225077042 163575099054 190837615563 381675231126 572512846689 1145025693378