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6432425253760 = 275117871160987
BaseRepresentation
bin101110110011010101001…
…1011000001101110000000
3211202221012202221110222111
41131212222123001232000
51320342101331110020
621403003152545104
71232504331344542
oct135465233015600
924687182843874
106432425253760
11205aa813a9930
1287a792252194
1337876265170c
1418348c551692
15b24c736dd5a
hex5d9aa6c1b80

6432425253760 has 128 divisors (see below), whose sum is σ = 16796802867840. Its totient is φ = 2336089589760.

The previous prime is 6432425253733. The next prime is 6432425253767. The reversal of 6432425253760 is 673525242346.

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 (6432425253767) 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, 4959987 + ... + 6120973.

It is an arithmetic number, because the mean of its divisors is an integer number (131225022405).

Almost surely, 26432425253760 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 6432425253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8398401433920).

6432425253760 is an abundant number, since it is smaller than the sum of its proper divisors (10364377614080).

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

6432425253760 is a wasteful number, since it uses less digits than its factorization.

6432425253760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161804 (or 1161792 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 49.

The spelling of 6432425253760 in words is "six trillion, four hundred thirty-two billion, four hundred twenty-five million, two hundred fifty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 787 880 1408 1574 1760 3148 3520 3935 6296 7040 7870 8657 12592 15740 17314 25184 31480 34628 43285 50368 62960 69256 86570 100736 125920 138512 173140 251840 277024 346280 503680 554048 692560 1108096 1160987 1385120 2321974 2770240 4643948 5540480 5804935 9287896 11609870 12770857 18575792 23219740 25541714 37151584 46439480 51083428 63854285 74303168 92878960 102166856 127708570 148606336 185757920 204333712 255417140 371515840 408667424 510834280 743031680 817334848 913696769 1021668560 1634669696 1827393538 2043337120 3654787076 4086674240 4568483845 7309574152 8173348480 9136967690 10050664459 14619148304 18273935380 20101328918 29238296608 36547870760 40202657836 50253322295 58476593216 73095741520 80405315672 100506644590 116953186432 146191483040 160810631344 201013289180 292382966080 321621262688 402026578360 584765932160 643242525376 804053156720 1286485050752 1608106313440 3216212626880 6432425253760