Search a number
-
+
5365463490432 = 27335347290351
BaseRepresentation
bin100111000010011111010…
…0010111001111110000000
3200222221012101011000211000
41032010332202321332000
51200401432123143212
615224505423252000
71062433121113653
oct116047642717600
920887171130730
105365463490432
111789531299071
12727a42a4a000
132cbc6551cb16
14147992c0d89a
159487c0e01dc
hex4e13e8b9f80

5365463490432 has 128 divisors (see below), whose sum is σ = 15838585459200. Its totient is φ = 1788147187200.

The previous prime is 5365463490407. The next prime is 5365463490433. The reversal of 5365463490432 is 2340943645635.

5365463490432 is a `hidden beast` number, since 5 + 3 + 6 + 54 + 63 + 490 + 43 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5365463490433) 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, 18334057 + ... + 18624407.

It is an arithmetic number, because the mean of its divisors is an integer number (123738948900).

Almost surely, 25365463490432 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 5365463490432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7919292729600).

5365463490432 is an abundant number, since it is smaller than the sum of its proper divisors (10473121968768).

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

5365463490432 is a wasteful number, since it uses less digits than its factorization.

5365463490432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295721 (or 295703 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 54.

The spelling of 5365463490432 in words is "five trillion, three hundred sixty-five billion, four hundred sixty-three million, four hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 5347 10694 16041 21388 32082 42776 48123 64164 85552 96246 128328 144369 171104 192492 256656 288738 290351 342208 384984 513312 577476 580702 684416 769968 871053 1026624 1154952 1161404 1539936 1742106 2053248 2309904 2322808 2613159 3079872 3484212 4619808 4645616 5226318 6159744 6968424 7839477 9239616 9291232 10452636 13936848 15678954 18479232 18582464 20905272 27873696 31357908 37164928 41810544 55747392 62715816 83621088 111494784 125431632 167242176 250863264 334484352 501726528 1003453056 1552506797 3105013594 4657520391 6210027188 9315040782 12420054376 13972561173 18630081564 24840108752 27945122346 37260163128 41917683519 49680217504 55890244692 74520326256 83835367038 99360435008 111780489384 149040652512 167670734076 198720870016 223560978768 298081305024 335341468152 447121957536 596162610048 670682936304 894243915072 1341365872608 1788487830144 2682731745216 5365463490432