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3894737193102 = 2371959371911447
BaseRepresentation
bin111000101011010000011…
…011010100100010001110
3111210022222221011001211110
4320223100123110202032
51002302410210134402
612141114554432450
7551246134625220
oct70532033244216
914708887131743
103894737193102
111271826678888
1252a9ab732726
1322336cb82692
14d671336a410
156b49ec0556c
hex38ad06d488e

3894737193102 has 128 divisors (see below), whose sum is σ = 9400474828800. Its totient is φ = 1050881250816.

The previous prime is 3894737193049. The next prime is 3894737193131. The reversal of 3894737193102 is 2013917374983.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 340235143 + ... + 340246589.

It is an arithmetic number, because the mean of its divisors is an integer number (73441209600).

Almost surely, 23894737193102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3894737193102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700237414400).

3894737193102 is an abundant number, since it is smaller than the sum of its proper divisors (5505737635698).

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

3894737193102 is a wasteful number, since it uses less digits than its factorization.

3894737193102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12790.

The product of its (nonzero) digits is 6858432, while the sum is 57.

The spelling of 3894737193102 in words is "three trillion, eight hundred ninety-four billion, seven hundred thirty-seven million, one hundred ninety-three thousand, one hundred two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 593 719 798 1186 1438 1779 2157 3558 4151 4314 5033 8302 10066 11267 11447 12453 13661 15099 22534 22894 24906 27322 30198 33801 34341 40983 67602 68682 78869 80129 81966 95627 157738 160258 191254 217493 236607 240387 286881 426367 434986 473214 480774 573762 652479 852734 1279101 1304958 1522451 2558202 2984569 3044902 4567353 5969138 6788071 8100973 8230393 8953707 9134706 13576142 16201946 16460786 17907414 20364213 24302919 24691179 40728426 47516497 48605838 49382358 56706811 57612751 95032994 113413622 115225502 128973349 142549491 156377467 170120433 172838253 257946698 285098982 312754934 340240866 345676506 386920047 469132401 773840094 902813443 938264802 1094642269 1805626886 2189284538 2708440329 3283926807 4880623049 5416880658 6567853614 9761246098 14641869147 29283738294 34164361343 68328722686 92731837931 102493084029 185463675862 204986168058 278195513793 556391027586 649122865517 1298245731034 1947368596551 3894737193102