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198644924416 = 21617412
BaseRepresentation
bin1011100100000000101…
…0010000000000000000
3200222201220110201020211
42321000022100000000
511223311100040131
6231131202043504
720231414666221
oct2710012200000
9628656421224
10198644924416
1177276976924
12325b9949594
131596966c7c3
149886145248
1552795055b1
hex2e40290000

198644924416 has 51 divisors (see below), whose sum is σ = 397515143433. Its totient is φ = 99265413120.

The previous prime is 198644924383. The next prime is 198644924419. The reversal of 198644924416 is 614429446891.

It is a happy number.

The square root of 198644924416 is 445696.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 228130816 + 198416793600 = 15104^2 + 445440^2 .

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (198644924419) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 114097306 + ... + 114099046.

Almost surely, 2198644924416 is an apocalyptic number.

198644924416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

198644924416 is the 445696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198644924416

198644924416 is an abundant number, since it is smaller than the sum of its proper divisors (198870219017).

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

198644924416 is an frugal number, since it uses more digits than its factorization.

198644924416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3514 (or 1743 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 58.

The spelling of 198644924416 in words is "one hundred ninety-eight billion, six hundred forty-four million, nine hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1741 2048 3482 4096 6964 8192 13928 16384 27856 32768 55712 65536 111424 222848 445696 891392 1782784 3031081 3565568 6062162 7131136 12124324 14262272 24248648 28524544 48497296 57049088 96994592 114098176 193989184 387978368 775956736 1551913472 3103826944 6207653888 12415307776 24830615552 49661231104 99322462208 198644924416