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4093695937044 = 22327103283557303
BaseRepresentation
bin111011100100100011010…
…010101100101000010100
3112111100112201010110112200
4323210203102230220110
51014032342124441134
612412341251044500
7601521413222250
oct73444322545024
915440481113480
104093695937044
1113391436a798a
125614765a0730
1323905954b1bc
141021c9041260
1571746a49499
hex3b9234aca14

4093695937044 has 144 divisors (see below), whose sum is σ = 11983266527232. Its totient is φ = 1154176900416.

The previous prime is 4093695937021. The next prime is 4093695937091. The reversal of 4093695937044 is 4407395963904.

4093695937044 is a `hidden beast` number, since 4 + 0 + 9 + 36 + 9 + 593 + 7 + 0 + 4 + 4 = 666.

It is a super-3 number, since 3×40936959370443 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 47 ways as a sum of consecutive naturals, for example, 7066897 + ... + 7624199.

Almost surely, 24093695937044 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 4093695937044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5991633263616).

4093695937044 is an abundant number, since it is smaller than the sum of its proper divisors (7889570590188).

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

4093695937044 is a wasteful number, since it uses less digits than its factorization.

4093695937044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557706 (or 557701 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 63.

The spelling of 4093695937044 in words is "four trillion, ninety-three billion, six hundred ninety-five million, nine hundred thirty-seven thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 103 126 206 252 283 309 412 566 618 721 849 927 1132 1236 1442 1698 1854 1981 2163 2547 2884 3396 3708 3962 4326 5094 5943 6489 7924 8652 10188 11886 12978 17829 23772 25956 29149 35658 58298 71316 87447 116596 174894 204043 262341 349788 408086 524682 557303 612129 816172 1049364 1114606 1224258 1671909 1836387 2229212 2448516 3343818 3672774 3901121 5015727 6687636 7345548 7802242 10031454 11703363 15604484 20062908 23406726 35110089 46813452 57402209 70220178 114804418 140440356 157716749 172206627 229608836 315433498 344413254 401815463 473150247 516619881 630866996 688826508 803630926 946300494 1033239762 1104017243 1205446389 1419450741 1607261852 1892600988 2066479524 2208034486 2410892778 2838901482 3312051729 3616339167 4416068972 4821785556 5677802964 6624103458 7232678334 9936155187 13248206916 14465356668 16244825147 19872310374 32489650294 39744620748 48734475441 64979300588 97468950882 113713776029 146203426323 194937901764 227427552058 292406852646 341141328087 454855104116 584813705292 682282656174 1023423984261 1364565312348 2046847968522 4093695937044