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1099970587872 = 253213293795563
BaseRepresentation
bin10000000000011011010…
…110110010110011100000
310220011012211201110212200
4100000123112302303200
5121010214432302442
62201153003053200
7142320203504622
oct20003326626340
93804184643780
101099970587872
113945497a2252
12159221b11200
137c95a97aa50
143b34b60cc12
151d92d0e134c
hex1001b5b2ce0

1099970587872 has 72 divisors (see below), whose sum is σ = 3368659936824. Its totient is φ = 338452487424.

The previous prime is 1099970587867. The next prime is 1099970587901. The reversal of 1099970587872 is 2787850799901.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 1099970587872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146894038 + ... + 146901525.

It is an arithmetic number, because the mean of its divisors is an integer number (46786943567).

Almost surely, 21099970587872 is an apocalyptic number.

1099970587872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1099970587872 is an abundant number, since it is smaller than the sum of its proper divisors (2268689348952).

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

1099970587872 is a wasteful number, since it uses less digits than its factorization.

1099970587872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293795592 (or 293795581 counting only the distinct ones).

The product of its (nonzero) digits is 160030080, while the sum is 72.

The spelling of 1099970587872 in words is "one trillion, ninety-nine billion, nine hundred seventy million, five hundred eighty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 293795563 587591126 881386689 1175182252 1762773378 2350364504 2644160067 3525546756 3819342319 4700729008 5288320134 7051093512 7638684638 9401458016 10576640268 11458026957 14102187024 15277369276 21153280536 22916053914 28204374048 30554738552 34374080871 42306561072 45832107828 61109477104 68748161742 84613122144 91664215656 122218954208 137496323484 183328431312 274992646968 366656862624 549985293936 1099970587872