Search a number
-
+
84616161420 = 2235717192347577
BaseRepresentation
bin100111011001110000…
…1000010100010001100
322002102001020101000110
41032303201002202030
52341243214131140
6102512214000020
76053603335110
oct1166341024214
9262361211013
1084616161420
113298168751a
1214495946010
137c965c028b
144149c81740
1523038a5380
hex13b384288c

84616161420 has 768 divisors, whose sum is σ = 322167767040. Its totient is φ = 16116350976.

The previous prime is 84616161419. The next prime is 84616161463. The reversal of 84616161420 is 2416161648.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 146648172 + ... + 146648748.

It is an arithmetic number, because the mean of its divisors is an integer number (419489280).

Almost surely, 284616161420 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 84616161420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161083883520).

84616161420 is an abundant number, since it is smaller than the sum of its proper divisors (237551605620).

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

84616161420 is a wasteful number, since it uses less digits than its factorization.

84616161420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 84616161420 in words is "eighty-four billion, six hundred sixteen million, one hundred sixty-one thousand, four hundred twenty".