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5495883148900 = 225267234992
BaseRepresentation
bin100111111111001110000…
…1010011010111001100100
3201110101211112202010122001
41033332130022122321210
51210021032041231100
615404435053215044
71105031051660254
oct117763412327144
921411745663561
105495883148900
11182987783a881
12749180191484
1330b34b329a71
14150005d19964
1597e61bebd6a
hex4ff9c29ae64

5495883148900 has 81 divisors (see below), whose sum is σ = 12110185197369. Its totient is φ = 2164923113760.

The previous prime is 5495883148897. The next prime is 5495883148919. The reversal of 5495883148900 is 98413885945.

It is a happy number.

The square root of 5495883148900 is 2344330.

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., 1978517933604 + 3517365215296 = 1406598^2 + 1875464^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1570699351 + ... + 1570702849.

Almost surely, 25495883148900 is an apocalyptic number.

5495883148900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5495883148900 is the 2344330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5495883148900

5495883148900 is an abundant number, since it is smaller than the sum of its proper divisors (6614302048469).

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

5495883148900 is an frugal number, since it uses more digits than its factorization.

5495883148900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7146 (or 3573 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 64.

Multiplying 5495883148900 by its sum of digits (64), we get a square (351736521529600 = 187546402).

The spelling of 5495883148900 in words is "five trillion, four hundred ninety-five billion, eight hundred eighty-three million, one hundred forty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 335 670 1340 1675 3350 3499 4489 6700 6998 8978 13996 17495 17956 22445 34990 44890 69980 87475 89780 112225 174950 224450 234433 349900 448900 468866 937732 1172165 2344330 4688660 5860825 11721650 12243001 15707011 23443300 24486002 31414022 48972004 61215005 62828044 78535055 122430010 157070110 244860020 306075025 314140220 392675275 612150050 785350550 820281067 1224300100 1570701100 1640562134 3281124268 4101405335 8202810670 16405621340 20507026675 41014053350 54958831489 82028106700 109917662978 219835325956 274794157445 549588314890 1099176629780 1373970787225 2747941574450 5495883148900