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215087681040 = 24355211720151
BaseRepresentation
bin1100100001010000111…
…0011000111000010000
3202120011211102021221220
43020110032120320100
512010444421243130
6242450535245040
721353034060201
oct3102416307020
9676154367856
10215087681040
1183244430291
1235828519780
131738a0877ab
14a5a5c0b5a8
1558dcd08410
hex3214398e10

215087681040 has 80 divisors (see below), whose sum is σ = 668051991936. Its totient is φ = 57246592000.

The previous prime is 215087681009. The next prime is 215087681047. The reversal of 215087681040 is 40186780512.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 215087680983 and 215087681001.

It is not an unprimeable number, because it can be changed into a prime (215087681047) 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, 735036 + ... + 985115.

Almost surely, 2215087681040 is an apocalyptic number.

215087681040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215087681040 is an abundant number, since it is smaller than the sum of its proper divisors (452964310896).

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

215087681040 is a wasteful number, since it uses less digits than its factorization.

215087681040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720688 (or 1720682 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 215087681040 in words is "two hundred fifteen billion, eighty-seven million, six hundred eighty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 521 1042 1563 2084 2605 3126 4168 5210 6252 7815 8336 10420 12504 15630 20840 25008 31260 41680 62520 125040 1720151 3440302 5160453 6880604 8600755 10320906 13761208 17201510 20641812 25802265 27522416 34403020 41283624 51604530 68806040 82567248 103209060 137612080 206418120 412836240 896198671 1792397342 2688596013 3584794684 4480993355 5377192026 7169589368 8961986710 10754384052 13442980065 14339178736 17923973420 21508768104 26885960130 35847946840 43017536208 53771920260 71695893680 107543840520 215087681040