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5358981400 = 2352176912281
BaseRepresentation
bin1001111110110101…
…11001000100011000
3111211110212110110121
410333122321010120
541433344401100
62243433323024
7246541406323
oct47732710430
914743773417
105358981400
112300007053
121056866474
1367533ab16
1438ba297ba
1521571651a
hex13f6b9118

5358981400 has 96 divisors (see below), whose sum is σ = 13217435280. Its totient is φ = 2013696000.

The previous prime is 5358981391. The next prime is 5358981431. The reversal of 5358981400 is 41898535.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2348260 + ... + 2350540.

Almost surely, 25358981400 is an apocalyptic number.

5358981400 is a gapful number since it is divisible by the number (50) 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 5358981400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6608717640).

5358981400 is an abundant number, since it is smaller than the sum of its proper divisors (7858453880).

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

5358981400 is a wasteful number, since it uses less digits than its factorization.

5358981400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3005 (or 2996 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 43.

The square root of 5358981400 is about 73205.0640324834. The cubic root of 5358981400 is about 1749.9571581349.

The spelling of 5358981400 in words is "five billion, three hundred fifty-eight million, nine hundred eighty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 691 850 1382 1700 2281 2764 3400 3455 4562 5528 6910 9124 11405 11747 13820 17275 18248 22810 23494 27640 34550 38777 45620 46988 57025 58735 69100 77554 91240 93976 114050 117470 138200 155108 193885 228100 234940 293675 310216 387770 456200 469880 587350 775540 969425 1174700 1551080 1576171 1938850 2349400 3152342 3877700 6304684 7755400 7880855 12609368 15761710 26794907 31523420 39404275 53589814 63046840 78808550 107179628 133974535 157617100 214359256 267949070 315234200 535898140 669872675 1071796280 1339745350 2679490700 5358981400