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1098846748272 = 2437131717338539
BaseRepresentation
bin11111111110110000101…
…11101011111001110000
310220001022112000111202210
433333120113223321300
5121000414231421042
62200445255212120
7142250306151420
oct17773027537160
93801275014683
101098846748272
11394022384999
12158b69677040
137c80bba10c0
143b282266480
151d8b45eba9c
hexffd85ebe70

1098846748272 has 320 divisors, whose sum is σ = 3701853066240. Its totient is φ = 272569024512.

The previous prime is 1098846748147. The next prime is 1098846748273. The reversal of 1098846748272 is 2728476488901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1098846748273) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128681379 + ... + 128689917.

It is an arithmetic number, because the mean of its divisors is an integer number (11568290832).

Almost surely, 21098846748272 is an apocalyptic number.

1098846748272 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 1098846748272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850926533120).

1098846748272 is an abundant number, since it is smaller than the sum of its proper divisors (2603006317968).

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

1098846748272 is a wasteful number, since it uses less digits than its factorization.

1098846748272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10320 (or 10314 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 66.

The spelling of 1098846748272 in words is "one trillion, ninety-eight billion, eight hundred forty-six million, seven hundred forty-eight thousand, two hundred seventy-two".