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55530922500 = 22325415712
BaseRepresentation
bin110011101101111001…
…101010001000000100
312022100001020010221100
4303231321222020010
51402211404010000
641302140220100
74004052024144
oct635571521004
9168301203840
1055530922500
1121606837a89
12a91923a630
13530c8bc531
14298b116924
1516a0221a00
hexcede6a204

55530922500 has 135 divisors (see below), whose sum is σ = 175517865523. Its totient is φ = 14798820000.

The previous prime is 55530922493. The next prime is 55530922547. The reversal of 55530922500 is 522903555.

The square root of 55530922500 is 235650.

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

55530922500 is a `hidden beast` number, since 55 + 530 + 9 + 22 + 50 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4353624324 + 51177298176 = 65982^2 + 226224^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian 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 44 ways as a sum of consecutive naturals, for example, 35346715 + ... + 35348285.

Almost surely, 255530922500 is an apocalyptic number.

55530922500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55530922500 is the 235650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55530922500

55530922500 is an abundant number, since it is smaller than the sum of its proper divisors (119986943023).

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

55530922500 is an equidigital number, since it uses as much as digits as its factorization.

55530922500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3172 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

Multiplying 55530922500 by its sum of digits (36), we get a square (1999113210000 = 14139002).

55530922500 divided by its sum of digits (36) gives a square (1542525625 = 392752).

The spelling of 55530922500 in words is "fifty-five billion, five hundred thirty million, nine hundred twenty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 625 750 900 1125 1250 1500 1571 1875 2250 2500 3142 3750 4500 4713 5625 6284 7500 7855 9426 11250 14139 15710 18852 22500 23565 28278 31420 39275 47130 56556 70695 78550 94260 117825 141390 157100 196375 235650 282780 353475 392750 471300 589125 706950 785500 981875 1178250 1413900 1767375 1963750 2356500 2468041 2945625 3534750 3927500 4936082 5891250 7069500 7404123 8836875 9872164 11782500 12340205 14808246 17673750 22212369 24680410 29616492 35347500 37020615 44424738 49360820 61701025 74041230 88849476 111061845 123402050 148082460 185103075 222123690 246804100 308505125 370206150 444247380 555309225 617010250 740412300 925515375 1110618450 1234020500 1542525625 1851030750 2221236900 2776546125 3085051250 3702061500 4627576875 5553092250 6170102500 9255153750 11106184500 13882730625 18510307500 27765461250 55530922500