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5353342242432 = 273151120176873
BaseRepresentation
bin100110111100110110000…
…0100000000111010000000
3200221202220121212211110220
41031321230010000322000
51200202121103224212
615215142543023040
71061523545160342
oct115715404007200
920852817784426
105353342242432
111784381153038
1272561b59aa80
132caa83215322
1414716306d292
15943bcdbe38c
hex4de6c100e80

5353342242432 has 128 divisors (see below), whose sum is σ = 14326091041920. Its totient is φ = 1771130880000.

The previous prime is 5353342242431. The next prime is 5353342242497. The reversal of 5353342242432 is 2342422433535.

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

It is a super-2 number, since 2×53533422424322 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5353342242431) 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, 69600348 + ... + 69677220.

It is an arithmetic number, because the mean of its divisors is an integer number (111922586265).

Almost surely, 25353342242432 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 5353342242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7163045520960).

5353342242432 is an abundant number, since it is smaller than the sum of its proper divisors (8972748799488).

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

5353342242432 is a wasteful number, since it uses less digits than its factorization.

5353342242432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78242 (or 78230 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 42.

Adding to 5353342242432 its reverse (2342422433535), we get a palindrome (7695764675967).

The spelling of 5353342242432 in words is "five trillion, three hundred fifty-three billion, three hundred forty-two million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 151 192 302 384 453 604 906 1201 1208 1812 2402 2416 3603 3624 4804 4832 7206 7248 9608 9664 14412 14496 19216 19328 28824 28992 38432 57648 57984 76864 76873 115296 153728 153746 181351 230592 230619 307492 362702 461184 461238 544053 614984 725404 922476 1088106 1229968 1450808 1844952 2176212 2459936 2901616 3689904 4352424 4919872 5803232 7379808 8704848 9839744 11606464 11607823 14759616 17409696 23212928 23215646 29519232 34819392 34823469 46431292 69638784 69646938 92324473 92862584 139293876 184648946 185725168 276973419 278587752 369297892 371450336 553946838 557175504 738595784 742900672 1107893676 1114351008 1477191568 1485801344 2215787352 2228702016 2954383136 4431574704 4457404032 5908766272 8863149408 11817532544 13940995423 17726298816 27881990846 35452597632 41822986269 55763981692 83645972538 111527963384 167291945076 223055926768 334583890152 446111853536 669167780304 892223707072 1338335560608 1784447414144 2676671121216 5353342242432