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20516225514464 = 2537859158312743
BaseRepresentation
bin1001010101000110011100…
…10101010111101111100000
32200122022222000211202101102
410222203032111113233200
510142114212212430324
6111345005054253532
74215151123343201
oct452431625275740
980568860752342
1020516225514464
11659a97849a719
1223742224b72a8
13b5a896b36434
1450cdc23575a8
15258a1a1a8dae
hex12a8ce557be0

20516225514464 has 96 divisors (see below), whose sum is σ = 41560765424640. Its totient is φ = 9962167767552.

The previous prime is 20516225514443. The next prime is 20516225514487. The reversal of 20516225514464 is 46441552261502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1609993277 + ... + 1610006019.

It is an arithmetic number, because the mean of its divisors is an integer number (432924639840).

Almost surely, 220516225514464 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 20516225514464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20780382712320).

20516225514464 is an abundant number, since it is smaller than the sum of its proper divisors (21044539910176).

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

20516225514464 is a wasteful number, since it uses less digits than its factorization.

20516225514464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15232 (or 15224 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 47.

Adding to 20516225514464 its reverse (46441552261502), we get a palindrome (66957777775966).

The spelling of 20516225514464 in words is "twenty trillion, five hundred sixteen billion, two hundred twenty-five million, five hundred fourteen thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 859 1184 1583 1718 3166 3436 6332 6872 12664 12743 13744 25328 25486 27488 31783 50656 50972 58571 63566 101944 117142 127132 203888 234284 254264 407776 468568 471491 508528 937136 942982 1017056 1359797 1874272 1885964 2719594 3771928 5439188 7543856 10878376 10946237 15087712 20172169 21756752 21892474 40344338 43513504 43784948 50312489 80688676 87569896 100624978 161377352 175139792 201249956 322754704 350279584 402499912 405010769 645509408 746370253 804999824 810021538 1492740506 1609999648 1620043076 2985481012 3240086152 5970962024 6480172304 11941924048 12960344608 17327893171 23883848096 34655786342 69311572684 138623145368 277246290736 554492581472 641132047327 1282264094654 2564528189308 5129056378616 10258112757232 20516225514464