Search a number
-
+
196620915456 = 2833723161307
BaseRepresentation
bin1011011100011110000…
…1010001001100000000
3200210111211221101221000
42313013201101030000
511210134423243311
6230154300332000
720130310130400
oct2670741211400
9623454841830
10196620915456
1176428420a49
1232133b44000
131570623a374
1497333da800
1551ab99e056
hex2dc7851300

196620915456 has 864 divisors, whose sum is σ = 711947765760. Its totient is φ = 53299814400.

The previous prime is 196620915433. The next prime is 196620915493. The reversal of 196620915456 is 654519026691.

196620915456 is a `hidden beast` number, since 1 + 9 + 6 + 6 + 2 + 0 + 91 + 545 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 640458855 + ... + 640459161.

Almost surely, 2196620915456 is an apocalyptic number.

196620915456 is a gapful number since it is divisible by the number (16) 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 196620915456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355973882880).

196620915456 is an abundant number, since it is smaller than the sum of its proper divisors (515326850304).

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

196620915456 is a wasteful number, since it uses less digits than its factorization.

196620915456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 196620915456 in words is "one hundred ninety-six billion, six hundred twenty million, nine hundred fifteen thousand, four hundred fifty-six".