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55598810436 = 223213230232
BaseRepresentation
bin110011110001111100…
…101000010101000100
312022111202222012200100
4303301330220111010
51402331243413221
641313003244100
74005535043151
oct636174502504
9168452865610
1055598810436
1121641096214
12a937b19630
13532099b900
142996149228
1516a6181926
hexcf1f28544

55598810436 has 81 divisors (see below), whose sum is σ = 152234282109. Its totient is φ = 17101667232.

The previous prime is 55598810431. The next prime is 55598810441. The reversal of 55598810436 is 63401889555.

The square root of 55598810436 is 235794.

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

55598810436 is a `hidden beast` number, since 5 + 5 + 598 + 8 + 1 + 0 + 43 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (55598810431) and next prime (55598810441).

It can be written as a sum of positive squares in only one way, i.e., 8224676100 + 47374134336 = 90690^2 + 217656^2 .

It is not an unprimeable number, because it can be changed into a prime (55598810431) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 18390421 + ... + 18393443.

Almost surely, 255598810436 is an apocalyptic number.

55598810436 is the 235794-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55598810436

55598810436 is an abundant number, since it is smaller than the sum of its proper divisors (96635471673).

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

55598810436 is a wasteful number, since it uses less digits than its factorization.

55598810436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6082 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 55598810436 in words is "fifty-five billion, five hundred ninety-eight million, eight hundred ten thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3023 3042 6046 6084 9069 12092 18138 27207 36276 39299 54414 78598 108828 117897 157196 235794 353691 471588 510887 707382 1021774 1414764 1532661 2043548 3065322 4597983 6130644 9138529 9195966 18277058 18391932 27415587 36554116 54831174 82246761 109662348 118800877 164493522 237601754 328987044 356402631 475203508 712805262 1069207893 1425610524 1544411401 2138415786 3088822802 4276831572 4633234203 6177645604 9266468406 13899702609 18532936812 27799405218 55598810436