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55051320636 = 223213978091499
BaseRepresentation
bin110011010001010100…
…000111110100111100
312021002121202211212100
4303101110013310330
51400221114230021
641142404505100
73656136335034
oct632124076474
9167077684770
1055051320636
1121390043004
12a8046ab190
135264429b50
1429435508c4
151673087626
hexcd1507d3c

55051320636 has 144 divisors (see below), whose sum is σ = 151695180000. Its totient is φ = 16732348416.

The previous prime is 55051320607. The next prime is 55051320671. The reversal of 55051320636 is 63602315055.

55051320636 is a `hidden beast` number, since 5 + 5 + 0 + 5 + 13 + 2 + 0 + 636 = 666.

55051320636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 55051320636.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36724615 + ... + 36726113.

It is an arithmetic number, because the mean of its divisors is an integer number (1053438750).

Almost surely, 255051320636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55051320636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75847590000).

55051320636 is an abundant number, since it is smaller than the sum of its proper divisors (96643859364).

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

55051320636 is a wasteful number, since it uses less digits than its factorization.

55051320636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 55051320636 in words is "fifty-five billion, fifty-one million, three hundred twenty thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 97 117 156 194 234 291 388 468 582 809 873 1164 1261 1499 1618 1746 2427 2522 2998 3236 3492 3783 4497 4854 5044 5996 7281 7566 8994 9708 10517 11349 13491 14562 15132 17988 19487 21034 22698 26982 29124 31551 38974 42068 45396 53964 58461 63102 77948 78473 94653 116922 126204 145403 156946 175383 189306 233844 235419 290806 313892 350766 378612 436209 470838 581612 701532 706257 872418 941676 1020149 1212691 1308627 1412514 1744836 1890239 2040298 2425382 2617254 2825028 3060447 3638073 3780478 4080596 4850764 5234508 5670717 6120894 7276146 7560956 9181341 10914219 11341434 12241788 14552292 15764983 17012151 18362682 21828438 22682868 31529966 34024302 36725364 43656876 47294949 63059932 68048604 94589898 117631027 141884847 189179796 235262054 283769694 352893081 470524108 567539388 705786162 1058679243 1411572324 1529203351 2117358486 3058406702 4234716972 4587610053 6116813404 9175220106 13762830159 18350440212 27525660318 55051320636