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4076152564352 = 271117439387913
BaseRepresentation
bin111011010100001101101…
…000000010101010000000
3112102200021002011210102112
4323110031220002222000
51013240430024024402
612400320355434452
7600330601061141
oct73241550025200
915380232153375
104076152564352
111331760948370
12559b9b2b5a28
132374c1ac7cbb
14101403119ac8
157106b7dce52
hex3b50da02a80

4076152564352 has 128 divisors (see below), whose sum is σ = 9401173372800. Its totient is φ = 1739831869440.

The previous prime is 4076152564349. The next prime is 4076152564357. The reversal of 4076152564352 is 2534652516704.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 4076152564352.

It is not an unprimeable number, because it can be changed into a prime (4076152564357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10313948 + ... + 10701860.

It is an arithmetic number, because the mean of its divisors is an integer number (73446666975).

Almost surely, 24076152564352 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 4076152564352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700586686400).

4076152564352 is an abundant number, since it is smaller than the sum of its proper divisors (5325020808448).

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

4076152564352 is a wasteful number, since it uses less digits than its factorization.

4076152564352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388394 (or 388382 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 50.

The spelling of 4076152564352 in words is "four trillion, seventy-six billion, one hundred fifty-two million, five hundred sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 272 352 374 439 544 704 748 878 1088 1408 1496 1756 2176 2992 3512 4829 5984 7024 7463 9658 11968 14048 14926 19316 23936 28096 29852 38632 56192 59704 77264 82093 119408 154528 164186 238816 309056 328372 387913 477632 618112 656744 775826 955264 1313488 1551652 2626976 3103304 4267043 5253952 6206608 6594521 8534086 10507904 12413216 13189042 17068172 24826432 26378084 34136344 49652864 52756168 68272688 72539731 105512336 136545376 145079462 170293807 211024672 273090752 290158924 340587614 422049344 546181504 580317848 681175228 844098688 1160635696 1362350456 1873231877 2321271392 2724700912 2894994719 3746463754 4642542784 5449401824 5789989438 7492927508 9285085568 10898803648 11579978876 14985855016 21797607296 23159957752 29971710032 31844941909 46319915504 59943420064 63689883818 92639831008 119886840128 127379767636 185279662016 239773680256 254759535272 370559324032 509519070544 1019038141088 2038076282176 4076152564352