Search a number
-
+
1628798747472 = 2435131011512113
BaseRepresentation
bin10111101100111011111…
…110001000001101010000
312202201012210012102200000
4113230323332020031100
5203141234434404342
63244132041530000
7225451102626651
oct27547376101520
95681183172600
101628798747472
11578851480736
122238094a3900
13ba797478810
1458b9739b528
152c57ea2644c
hex17b3bf88350

1628798747472 has 480 divisors, whose sum is σ = 5177735437056. Its totient is φ = 492687360000.

The previous prime is 1628798747461. The next prime is 1628798747491. The reversal of 1628798747472 is 2747478978261.

1628798747472 is a `hidden beast` number, since 1 + 6 + 2 + 8 + 7 + 9 + 87 + 474 + 72 = 666.

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

Its product of digits (531062784) is a multiple of the sum of its prime factors (2401).

It is a self number, because there is not a number n which added to its sum of digits gives 1628798747472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 770845488 + ... + 770847600.

Almost surely, 21628798747472 is an apocalyptic number.

1628798747472 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 1628798747472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588867718528).

1628798747472 is an abundant number, since it is smaller than the sum of its proper divisors (3548936689584).

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

1628798747472 is a wasteful number, since it uses less digits than its factorization.

1628798747472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2401 (or 2383 counting only the distinct ones).

The product of its digits is 531062784, while the sum is 72.

The spelling of 1628798747472 in words is "one trillion, six hundred twenty-eight billion, seven hundred ninety-eight million, seven hundred forty-seven thousand, four hundred seventy-two".