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1041762145249 = 75319754126347
BaseRepresentation
bin11110010100011011101…
…11001101001111100001
310200120222012021012211101
433022031313031033201
5114032012102121444
62114325014114401
7135156560062360
oct17121567151741
93616865235741
101041762145249
11371899632821
12149a9804ba01
1377312445ba7
14385c8a757d7
151c172cca3d4
hexf28ddcd3e1

1041762145249 has 32 divisors (see below), whose sum is σ = 1221506770176. Its totient is φ = 869999719680.

The previous prime is 1041762145243. The next prime is 1041762145253. The reversal of 1041762145249 is 9425412671401.

It is a de Polignac number, because none of the positive numbers 2k-1041762145249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1041762145199 and 1041762145208.

It is not an unprimeable number, because it can be changed into a prime (1041762145243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39526894 + ... + 39553240.

It is an arithmetic number, because the mean of its divisors is an integer number (38172086568).

Almost surely, 21041762145249 is an apocalyptic number.

It is an amenable number.

1041762145249 is a deficient number, since it is larger than the sum of its proper divisors (179744624927).

1041762145249 is a wasteful number, since it uses less digits than its factorization.

1041762145249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27145.

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 1041762145249 in words is "one trillion, forty-one billion, seven hundred sixty-two million, one hundred forty-five thousand, two hundred forty-nine".

Divisors: 1 7 53 197 371 541 1379 3787 10441 26347 28673 73087 106577 184429 200711 746039 1396391 5190359 5648581 9774737 14253727 36332513 39540067 99776089 275089027 755447531 1925623189 2807984219 5288132717 19655889533 148823163607 1041762145249