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1005444054335 = 572107166323063
BaseRepresentation
bin11101010000110010010…
…00101011110100111111
310120010020010101001002002
432220121020223310333
5112433122134214320
62045521123252515
7132432561310400
oct16503110536477
93503203331062
101005444054335
11358451a58556
12142a4121a13b
1373a75121a76
14369414999a7
151b249684675
hexea1922bd3f

1005444054335 has 48 divisors (see below), whose sum is σ = 1417548128256. Its totient is φ = 682563615552.

The previous prime is 1005444054331. The next prime is 1005444054341. The reversal of 1005444054335 is 5334504445001.

It is not a de Polignac number, because 1005444054335 - 22 = 1005444054331 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005444054331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43584014 + ... + 43607076.

It is an arithmetic number, because the mean of its divisors is an integer number (29532252672).

Almost surely, 21005444054335 is an apocalyptic number.

1005444054335 is a deficient number, since it is larger than the sum of its proper divisors (412104073921).

1005444054335 is a wasteful number, since it uses less digits than its factorization.

1005444054335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24852 (or 24845 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 38.

Adding to 1005444054335 its reverse (5334504445001), we get a palindrome (6339948499336).

The spelling of 1005444054335 in words is "one trillion, five billion, four hundred forty-four million, fifty-four thousand, three hundred thirty-five".

Divisors: 1 5 7 35 49 107 245 535 749 1663 3745 5243 8315 11641 23063 26215 58205 81487 115315 161441 177941 407435 807205 889705 1130087 1245587 2467741 5650435 6227935 8719109 12338705 17274187 38353769 43595545 86370935 120919309 191768845 268476383 604596545 1342381915 1879334681 4103853283 9396673405 20519266415 28726972981 143634864905 201088810867 1005444054335