Search a number
-
+
46402764408 = 2333721113233143
BaseRepresentation
bin101011001101110100…
…011111111001111000
311102202212222200002000
4223031310133321320
51230013101430113
633152300141000
73231621663300
oct531564377170
9142685880060
1046402764408
1118752172780
128bb0237760
1344b6719c60
142362aa0600
151318b7c373
hexacdd1fe78

46402764408 has 1536 divisors, whose sum is σ = 194155315200. Its totient is φ = 10059033600.

The previous prime is 46402764389. The next prime is 46402764437. The reversal of 46402764408 is 80446720464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1079134035 + ... + 1079134077.

It is an arithmetic number, because the mean of its divisors is an integer number (126403200).

Almost surely, 246402764408 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 46402764408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97077657600).

46402764408 is an abundant number, since it is smaller than the sum of its proper divisors (147752550792).

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

46402764408 is a wasteful number, since it uses less digits than its factorization.

46402764408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 46402764408 in words is "forty-six billion, four hundred two million, seven hundred sixty-four thousand, four hundred eight".