Search a number
-
+
210400697472 = 27371779167349
BaseRepresentation
bin1100001111110011011…
…0111101110010000000
3202010002012000212012220
43003330312331302000
511421400034304342
6240353505051040
721125632264110
oct3037466756200
9663065025186
10210400697472
1181259788149
123493a926a80
1316ac1033534
14a27d54b040
1557165d25ec
hex30fcdbdc80

210400697472 has 512 divisors, whose sum is σ = 690923520000. Its totient is φ = 55368548352.

The previous prime is 210400697443. The next prime is 210400697473. The reversal of 210400697472 is 274796004012.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (210400697473) 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, 602867154 + ... + 602867502.

It is an arithmetic number, because the mean of its divisors is an integer number (1349460000).

Almost surely, 2210400697472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210400697472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345461760000).

210400697472 is an abundant number, since it is smaller than the sum of its proper divisors (480522822528).

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

210400697472 is a wasteful number, since it uses less digits than its factorization.

210400697472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 210400697472 in words is "two hundred ten billion, four hundred million, six hundred ninety-seven thousand, four hundred seventy-two".