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27605091423104 = 271353442370769
BaseRepresentation
bin1100100011011010011111…
…01010110001001110000000
310121202000120021200122000022
412101231033222301032000
512104240211401014404
6134413334240513012
75546254620355226
oct621551752611600
9117660507618008
1027605091423104
118883287499468
12311a07531b768
1312531c2328050
146b61449d6b16
1532d1123b78be
hex191b4fab1380

27605091423104 has 128 divisors (see below), whose sum is σ = 60356811614400. Its totient is φ = 12497415929856.

The previous prime is 27605091423101. The next prime is 27605091423227. The reversal of 27605091423104 is 40132419050672.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27605091423101) 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, 390037832 + ... + 390108600.

Almost surely, 227605091423104 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 27605091423104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30178405807200).

27605091423104 is an abundant number, since it is smaller than the sum of its proper divisors (32751720191296).

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

27605091423104 is a wasteful number, since it uses less digits than its factorization.

27605091423104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75272 (or 75260 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 27605091423104 in words is "twenty-seven trillion, six hundred five billion, ninety-one million, four hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 128 208 212 416 424 689 832 848 1378 1664 1696 2756 3392 4423 5512 6784 8846 11024 17692 22048 35384 44096 57499 70768 70769 88192 114998 141536 141538 229996 234419 283072 283076 459992 468838 566144 566152 919984 919997 937676 1132304 1839968 1839994 1875352 2264608 3047447 3679936 3679988 3750704 3750757 4529216 6094894 7359872 7359976 7501408 7501514 9058432 12189788 14719952 15002816 15003028 24379576 29439904 30005632 30006056 48759152 48759841 58879808 60012112 97518304 97519682 117759616 120024224 195036608 195039364 240048448 313011287 390073216 390078728 480096896 626022574 780157456 1252045148 1560314912 2504090296 3120629824 4069146731 5008180592 6241259648 8138293462 10016361184 16276586924 16589598211 20032722368 32553173848 33179196422 40065444736 65106347696 66358392844 130212695392 132716785688 215664776743 260425390784 265433571376 431329553486 520850781568 530867142752 862659106972 1061734285504 1725318213944 2123468571008 3450636427888 6901272855776 13802545711552 27605091423104