Search a number
-
+
473120505900 = 2234527371092069
BaseRepresentation
bin1101110001010000010…
…11100000000000101100
31200020012120200221020000
412320220023200000230
530222422322142100
61001203142224300
746116236642340
oct6705013400054
91606176627200
10473120505900
11172716211769
127783b125090
13357cc410493
1418c833cd620
15c490e53900
hex6e282e002c

473120505900 has 720 divisors, whose sum is σ = 1817530545600. Its totient is φ = 104203376640.

The previous prime is 473120505889. The next prime is 473120505929. The reversal of 473120505900 is 9505021374.

473120505900 is a `hidden beast` number, since 4 + 7 + 3 + 12 + 0 + 50 + 590 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 228670066 + ... + 228672134.

It is an arithmetic number, because the mean of its divisors is an integer number (2524347980).

Almost surely, 2473120505900 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 473120505900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908765272800).

473120505900 is an abundant number, since it is smaller than the sum of its proper divisors (1344410039700).

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

473120505900 is a wasteful number, since it uses less digits than its factorization.

473120505900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 473120505900 in words is "four hundred seventy-three billion, one hundred twenty million, five hundred five thousand, nine hundred".