Search a number
-
+
200154839713920 = 273257132231712369
BaseRepresentation
bin101101100000101000101110…
…000111110000100010000000
3222020200121121220212111211200
4231200220232013300202000
5202213314102431321140
61545405510341541200
760105465342213060
oct5540505607604200
9866617556774750
10200154839713920
1158859210aa1173
121a547422a14800
13878b69c409190
14375d7900713a0
1518217479b3030
hexb60a2e1f0880

200154839713920 has 768 divisors, whose sum is σ = 854473177958400. Its totient is φ = 42041072812032.

The previous prime is 200154839713903. The next prime is 200154839713949. The reversal of 200154839713920 is 29317938451002.

200154839713920 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 5 + 483 + 9 + 7 + 139 + 20 = 666.

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, 116031496 + ... + 117743864.

It is an arithmetic number, because the mean of its divisors is an integer number (1112595283800).

Almost surely, 2200154839713920 is an apocalyptic number.

200154839713920 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 200154839713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427236588979200).

200154839713920 is an abundant number, since it is smaller than the sum of its proper divisors (654318338244480).

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

200154839713920 is a wasteful number, since it uses less digits than its factorization.

200154839713920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712637 (or 1712622 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 200154839713920 in words is "two hundred trillion, one hundred fifty-four billion, eight hundred thirty-nine million, seven hundred thirteen thousand, nine hundred twenty".