Search a number
-
+
42917913450 = 23352192957697
BaseRepresentation
bin100111111110000110…
…110110001101101010
311002210000121220021000
4213332012312031222
51200343441212300
631414411455430
73046355150046
oct477606661552
9132700556230
1042917913450
1117224052665
128399157576
13407c755a79
142111d27026
1511b2c63c00
hex9fe1b636a

42917913450 has 192 divisors, whose sum is σ = 128781936000. Its totient is φ = 10468362240.

The previous prime is 42917913407. The next prime is 42917913463. The reversal of 42917913450 is 5431971924.

42917913450 is a `hidden beast` number, since 4 + 29 + 179 + 1 + 3 + 450 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 42917913396 and 42917913405.

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, 715002 + ... + 772698.

It is an arithmetic number, because the mean of its divisors is an integer number (670739250).

Almost surely, 242917913450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42917913450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64390968000).

42917913450 is an abundant number, since it is smaller than the sum of its proper divisors (85864022550).

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

42917913450 is a wasteful number, since it uses less digits than its factorization.

42917913450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57766 (or 57755 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 42917913450 in words is "forty-two billion, nine hundred seventeen million, nine hundred thirteen thousand, four hundred fifty".