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2071334008640 = 26513497916829
BaseRepresentation
bin11110001001000101001…
…000001011011101000000
321100000110211100221200002
4132021011020023131000
5232414043001234030
64223320244215132
7302435405400521
oct36110510133500
97300424327602
102071334008640
117294a2059336
1229553169a4a8
13120431193440
147237871a848
1538d3079a245
hex1e24520b740

2071334008640 has 56 divisors (see below), whose sum is σ = 5311776742440. Its totient is φ = 764800247808.

The previous prime is 2071334008613. The next prime is 2071334008687. The reversal of 2071334008640 is 468004331702.

It can be written as a sum of positive squares in 4 ways, for example, as 157361369344 + 1913972639296 = 396688^2 + 1383464^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2071334008594 and 2071334008603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248954255 + ... + 248962574.

It is an arithmetic number, because the mean of its divisors is an integer number (94853156115).

Almost surely, 22071334008640 is an apocalyptic number.

2071334008640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2071334008640 is an abundant number, since it is smaller than the sum of its proper divisors (3240442733800).

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

2071334008640 is a wasteful number, since it uses less digits than its factorization.

2071334008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497916859 (or 497916849 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The spelling of 2071334008640 in words is "two trillion, seventy-one billion, three hundred thirty-four million, eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 497916829 995833658 1991667316 2489584145 3983334632 4979168290 6472918777 7966669264 9958336580 12945837554 15933338528 19916673160 25891675108 31866677056 32364593885 39833346320 51783350216 64729187770 79666692640 103566700432 129458375540 159333385280 207133400864 258916751080 414266801728 517833502160 1035667004320 2071334008640