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2007744992856 = 2332891512074957
BaseRepresentation
bin11101001101110110111…
…011010101011001011000
321002221100012102020211100
4131031312323111121120
5230343330204232411
64134202331031400
7265024535600121
oct35156673253130
97087305366740
102007744992856
11704530785629
1228514589b560
13117439000995
146d265337048
153735ce05456
hex1d376ed5658

2007744992856 has 96 divisors (see below), whose sum is σ = 5535157960800. Its totient is φ = 657346060800.

The previous prime is 2007744992833. The next prime is 2007744992893. The reversal of 2007744992856 is 6582994477002.

2007744992856 is a `hidden beast` number, since 2 + 0 + 0 + 7 + 74 + 499 + 28 + 56 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2007744992793 and 2007744992802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69871 + ... + 2005086.

It is an arithmetic number, because the mean of its divisors is an integer number (57657895425).

Almost surely, 22007744992856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2007744992856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767578980400).

2007744992856 is an abundant number, since it is smaller than the sum of its proper divisors (3527412967944).

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

2007744992856 is a wasteful number, since it uses less digits than its factorization.

2007744992856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075209 (or 2075202 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 2007744992856 in words is "two trillion, seven billion, seven hundred forty-four million, nine hundred ninety-two thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 151 178 267 302 356 453 534 604 712 801 906 1068 1208 1359 1602 1812 2136 2718 3204 3624 5436 6408 10872 13439 26878 40317 53756 80634 107512 120951 161268 241902 322536 483804 967608 2074957 4149914 6224871 8299828 12449742 16599656 18674613 24899484 37349226 49798968 74698452 149396904 184671173 313318507 369342346 554013519 626637014 738684692 939955521 1108027038 1253274028 1477369384 1662040557 1879911042 2216054076 2506548056 2819866563 3324081114 3759822084 4432108152 5639733126 6648162228 7519644168 11279466252 13296324456 22558932504 27885347123 55770694246 83656041369 111541388492 167312082738 223082776984 250968124107 334624165476 501936248214 669248330952 1003872496428 2007744992856