Search a number
-
+
198878831424 = 263271337102547
BaseRepresentation
bin1011100100111000011…
…0100010001101000000
3201000100012121102100100
42321032012202031000
511224300440101144
6231210315322400
720240255113650
oct2711606421500
9630305542310
10198878831424
1177386a086a9
1232664150400
13159a5c69210
1498a9232360
15528ed0b269
hex2e4e1a2340

198878831424 has 336 divisors, whose sum is σ = 720569519488. Its totient is φ = 51033452544.

The previous prime is 198878831383. The next prime is 198878831449. The reversal of 198878831424 is 424138878891.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1888119 + ... + 1990665.

Almost surely, 2198878831424 is an apocalyptic number.

198878831424 is a gapful number since it is divisible by the number (14) 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 198878831424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360284759744).

198878831424 is an abundant number, since it is smaller than the sum of its proper divisors (521690688064).

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

198878831424 is a wasteful number, since it uses less digits than its factorization.

198878831424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102622 (or 102609 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 63.

The spelling of 198878831424 in words is "one hundred ninety-eight billion, eight hundred seventy-eight million, eight hundred thirty-one thousand, four hundred twenty-four".