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1099451716272 = 243372139741189
BaseRepresentation
bin11111111111111000110…
…11011101001010110000
310220002212200101001212000
433333330123131022300
5121003134114410042
62201025305534000
7142301303251500
oct17777433351260
93802780331760
101099451716272
11394302916348
121590b81a4300
137c8a7319030
143b2dc743a00
151d8ec79b74c
hexfffc6dd2b0

1099451716272 has 480 divisors, whose sum is σ = 3994316222400. Its totient is φ = 286968987648.

The previous prime is 1099451716243. The next prime is 1099451716277. The reversal of 1099451716272 is 2726171549901.

1099451716272 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 4 + 5 + 1 + 7 + 1 + 627 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1099451716277) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26672254 + ... + 26713442.

It is an arithmetic number, because the mean of its divisors is an integer number (8321492130).

Almost surely, 21099451716272 is an apocalyptic number.

1099451716272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1099451716272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997158111200).

1099451716272 is an abundant number, since it is smaller than the sum of its proper divisors (2894864506128).

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

1099451716272 is a wasteful number, since it uses less digits than its factorization.

1099451716272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41330 (or 41311 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 1099451716272 in words is "one trillion, ninety-nine billion, four hundred fifty-one million, seven hundred sixteen thousand, two hundred seventy-two".