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5434391900 = 2252716074831
BaseRepresentation
bin1010000111110101…
…00011110101011100
3112000201202201020002
411003322203311130
542112201020100
62255125513432
7251445366110
oct50372436534
915021681202
105434391900
112339633083
121077b72878
13687b52212
14397a59740
1521c1602d5
hex143ea3d5c

5434391900 has 72 divisors (see below), whose sum is σ = 13488470016. Its totient is φ = 1861675200.

The previous prime is 5434391899. The next prime is 5434391917. The reversal of 5434391900 is 91934345.

It is a super-2 number, since 2×54343919002 = 59065230645571220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1122485 + ... + 1127315.

Almost surely, 25434391900 is an apocalyptic number.

5434391900 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 5434391900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6744235008).

5434391900 is an abundant number, since it is smaller than the sum of its proper divisors (8054078116).

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

5434391900 is a wasteful number, since it uses less digits than its factorization.

5434391900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6459 (or 6452 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 38.

The square root of 5434391900 is about 73718.3281145198. The cubic root of 5434391900 is about 1758.1273017405.

The spelling of 5434391900 in words is "five billion, four hundred thirty-four million, three hundred ninety-one thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1607 3214 4831 6428 8035 9662 11249 16070 19324 22498 24155 32140 33817 40175 44996 48310 56245 67634 80350 96620 112490 120775 135268 160700 169085 224980 241550 281225 338170 483100 562450 676340 845425 1124900 1690850 3381700 7763417 15526834 31053668 38817085 54343919 77634170 108687838 155268340 194085425 217375676 271719595 388170850 543439190 776341700 1086878380 1358597975 2717195950 5434391900