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3728473210098 = 234731331241131
BaseRepresentation
bin110110010000011010010…
…100100011110011110010
3111012102211201010121120000
4312100122110203303302
5442041403120210343
611532500440330430
7533242020243000
oct66203224436362
914172751117500
103728473210098
111208266a2056a
1250272a173a16
13210793c4cb50
14cc65d96ba70
1566ebd387ed3
hex3641a523cf2

3728473210098 has 960 divisors, whose sum is σ = 11190954297600. Its totient is φ = 921316032000.

The previous prime is 3728473210097. The next prime is 3728473210117. The reversal of 3728473210098 is 8900123748273.

3728473210098 is a `hidden beast` number, since 3 + 72 + 8 + 473 + 2 + 10 + 0 + 98 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3728473210093) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 28461627493 + ... + 28461627623.

It is an arithmetic number, because the mean of its divisors is an integer number (11657244060).

Almost surely, 23728473210098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3728473210098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5595477148800).

3728473210098 is an abundant number, since it is smaller than the sum of its proper divisors (7462481087502).

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

3728473210098 is a wasteful number, since it uses less digits than its factorization.

3728473210098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 3728473210098 in words is "three trillion, seven hundred twenty-eight billion, four hundred seventy-three million, two hundred ten thousand, ninety-eight".