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1004440643664 = 24345750391033
BaseRepresentation
bin11101001110111010101…
…00111110100001010000
310120000122012021111101220
432213131110332201100
5112424043301044124
62045233400525040
7132365655413013
oct16473524764120
93500565244356
101004440643664
11357a87615237
12142801180780
137394528c343
143688810137a
151b1db52c879
hexe9dd53e850

1004440643664 has 80 divisors (see below), whose sum is σ = 2605681475712. Its totient is φ = 333413074944.

The previous prime is 1004440643663. The next prime is 1004440643671. The reversal of 1004440643664 is 4663460444001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004440643663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10988292 + ... + 11079324.

Almost surely, 21004440643664 is an apocalyptic number.

It is an amenable number.

1004440643664 is an abundant number, since it is smaller than the sum of its proper divisors (1601240832048).

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

1004440643664 is a wasteful number, since it uses less digits than its factorization.

1004440643664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92004 (or 91998 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 1004440643664 in words is "one trillion, four billion, four hundred forty million, six hundred forty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 457 503 914 1006 1371 1509 1828 2012 2742 3018 3656 4024 5484 6036 7312 8048 10968 12072 21936 24144 91033 182066 229871 273099 364132 459742 546198 689613 728264 919484 1092396 1379226 1456528 1838968 2184792 2758452 3677936 4369584 5516904 11033808 41602081 45789599 83204162 91579198 124806243 137368797 166408324 183158396 249612486 274737594 332816648 366316792 499224972 549475188 665633296 732633584 998449944 1098950376 1996899888 2197900752 20925846743 41851693486 62777540229 83703386972 125555080458 167406773944 251110160916 334813547888 502220321832 1004440643664