Search a number
-
+
200372049884160 = 210325721137337647
BaseRepresentation
bin101101100011110011000000…
…110110110011010000000000
3222021110101021200010102121200
4231203303000312303100000
5202230343424232243120
61550053352101421200
760130255121204400
oct5543630066632000
9867411250112550
10200372049884160
115893234451aa60
121a58154210a800
1387a6007126c2b
14376a0b7b00800
15182720bcc6e90
hexb63cc0db3400

200372049884160 has 3168 divisors, whose sum is σ = 908958070096128. Its totient is φ = 40327824015360.

The previous prime is 200372049884119. The next prime is 200372049884189. The reversal of 200372049884160 is 61488940273002.

200372049884160 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 72 + 0 + 498 + 84 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a junction number, because it is equal to n+sod(n) for n = 200372049884097 and 200372049884106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 309694048957 + ... + 309694049603.

Almost surely, 2200372049884160 is an apocalyptic number.

200372049884160 is a gapful number since it is divisible by the number (20) 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 200372049884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454479035048064).

200372049884160 is an abundant number, since it is smaller than the sum of its proper divisors (708586020211968).

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

200372049884160 is a wasteful number, since it uses less digits than its factorization.

200372049884160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 200372049884160 in words is "two hundred trillion, three hundred seventy-two billion, forty-nine million, eight hundred eighty-four thousand, one hundred sixty".