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27873240084 = 223219412234457
BaseRepresentation
bin11001111101010111…
…111110010000010100
32122221112102022020100
4121331113332100110
5424041022140314
620445500134100
72004503426424
oct317527762024
978845368210
1027873240084
1110903798908
12549a837330
132822897c91
1414c5bd4484
15ad2077c09
hex67d5fe414

27873240084 has 144 divisors (see below), whose sum is σ = 76332372480. Its totient is φ = 8546964480.

The previous prime is 27873240079. The next prime is 27873240089. The reversal of 27873240084 is 48004237872.

It is an interprime number because it is at equal distance from previous prime (27873240079) and next prime (27873240089).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27873240089) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6251584 + ... + 6256040.

It is an arithmetic number, because the mean of its divisors is an integer number (530085920).

Almost surely, 227873240084 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 27873240084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38166186240).

27873240084 is an abundant number, since it is smaller than the sum of its proper divisors (48459132396).

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

27873240084 is a wasteful number, since it uses less digits than its factorization.

27873240084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4750 (or 4745 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 27873240084 in words is "twenty-seven billion, eight hundred seventy-three million, two hundred forty thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 41 57 76 82 114 123 164 171 223 228 246 342 369 446 492 669 684 738 779 892 1338 1476 1558 2007 2337 2676 3116 4014 4237 4457 4674 7011 8028 8474 8914 9143 9348 12711 13371 14022 16948 17828 18286 25422 26742 27429 28044 36572 38133 40113 50844 53484 54858 76266 80226 82287 84683 109716 152532 160452 164574 169366 173717 182737 254049 329148 338732 347434 365474 508098 521151 548211 694868 730948 762147 993911 1016196 1042302 1096422 1524294 1563453 1644633 1987822 2084604 2192844 2981733 3048588 3126906 3289266 3472003 3975644 5963466 6253812 6578532 6944006 8945199 10416009 11926932 13888012 17890398 18884309 20832018 31248027 35780796 37768618 40750351 41664036 56652927 62496054 75537236 81500702 113305854 122251053 124992108 163001404 169958781 226611708 244502106 339917562 366753159 489004212 679835124 733506318 774256669 1467012636 1548513338 2322770007 3097026676 4645540014 6968310021 9291080028 13936620042 27873240084