Search a number
-
+
200767704480 = 253257414571063
BaseRepresentation
bin1011101011111010110…
…0000000110110100000
3201012012211212010001200
42322332230000312200
511242133013020410
6232121552401200
720335132221330
oct2727654006640
9635184763050
10200767704480
1178166153a12
1232ab0846200
1315c173a5295
149a080410c0
155350a6c3c0
hex2ebeb00da0

200767704480 has 576 divisors, whose sum is σ = 804602792448. Its totient is φ = 44630507520.

The previous prime is 200767704461. The next prime is 200767704481. The reversal of 200767704480 is 84407767002.

It is a super-2 number, since 2×2007677044802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (200767704481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 188868429 + ... + 188869491.

It is an arithmetic number, because the mean of its divisors is an integer number (1396879848).

Almost surely, 2200767704480 is an apocalyptic number.

200767704480 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 200767704480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402301396224).

200767704480 is an abundant number, since it is smaller than the sum of its proper divisors (603835087968).

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

200767704480 is a wasteful number, since it uses less digits than its factorization.

200767704480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 200767704480 in words is "two hundred billion, seven hundred sixty-seven million, seven hundred four thousand, four hundred eighty".