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163397501514 = 232132278113793
BaseRepresentation
bin1001100000101101000…
…0000000001001001010
3120121202110020002220100
42120023100000021022
510134114230022024
6203021435310230
714543066563302
oct2301320001112
9517673202810
10163397501514
11633296a2355
12278015ab376
13125400c9450
147ca0c30602
1543b4d9e7c9
hex260b40024a

163397501514 has 96 divisors (see below), whose sum is σ = 383513667264. Its totient is φ = 49979773440.

The previous prime is 163397501513. The next prime is 163397501539. The reversal of 163397501514 is 415105793361.

163397501514 is a `hidden beast` number, since 1 + 6 + 3 + 3 + 97 + 501 + 51 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 163397501514.

It is not an unprimeable number, because it can be changed into a prime (163397501513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43076802 + ... + 43080594.

It is an arithmetic number, because the mean of its divisors is an integer number (3994934034).

Almost surely, 2163397501514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163397501514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191756833632).

163397501514 is an abundant number, since it is smaller than the sum of its proper divisors (220116165750).

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

163397501514 is a wasteful number, since it uses less digits than its factorization.

163397501514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4852 (or 4849 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 163397501514 in words is "one hundred sixty-three billion, three hundred ninety-seven million, five hundred one thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 227 234 454 681 811 1362 1622 2043 2433 2951 3793 4086 4866 5902 7299 7586 8853 10543 11379 14598 17706 21086 22758 26559 31629 34137 49309 53118 63258 68274 94887 98618 147927 184097 189774 295854 368194 443781 552291 861011 887562 1104582 1656873 1722022 2393261 2583033 3076123 3313746 4786522 5166066 6152246 7179783 7749099 9228369 11193143 14359566 15498198 18456738 21539349 22386286 27685107 33579429 39989599 43078698 55370214 67158858 79979198 100738287 119968797 201476574 239937594 359906391 698279921 719812782 1396559842 2094839763 4189679526 6284519289 9077638973 12569038578 18155277946 27232916919 54465833838 81698750757 163397501514