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20999892035616 = 2531347293558223
BaseRepresentation
bin1001100011001011010110…
…00110101110100000100000
32202100120101120201202211220
410301211223012232200200
510223030234330114431
6112355114530335040
74265122621054644
oct461455306564040
982316346652756
1020999892035616
11676700565176a
122431b0542a480
13b943870aa910
145285861dcc24
152663c6dc2b96
hex13196b1ae820

20999892035616 has 96 divisors (see below), whose sum is σ = 59377649506560. Its totient is φ = 6460137068544.

The previous prime is 20999892035609. The next prime is 20999892035623. The reversal of 20999892035616 is 61653029899902.

It is an interprime number because it is at equal distance from previous prime (20999892035609) and next prime (20999892035623).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4122681 + ... + 7680903.

It is an arithmetic number, because the mean of its divisors is an integer number (618517182360).

Almost surely, 220999892035616 is an apocalyptic number.

20999892035616 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

20999892035616 is an abundant number, since it is smaller than the sum of its proper divisors (38377757470944).

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

20999892035616 is a wasteful number, since it uses less digits than its factorization.

20999892035616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562978 (or 3562970 counting only the distinct ones).

The product of its (nonzero) digits is 113374080, while the sum is 69.

The spelling of 20999892035616 in words is "twenty trillion, nine hundred ninety-nine billion, eight hundred ninety-two million, thirty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 4729 9458 14187 18916 28374 37832 56748 61477 75664 113496 122954 151328 184431 226992 245908 368862 453984 491816 737724 983632 1475448 1967264 2950896 3558223 5901792 7116446 10674669 14232892 21349338 28465784 42698676 46256899 56931568 85397352 92513798 113863136 138770697 170794704 185027596 277541394 341589408 370055192 555082788 740110384 1110165576 1480220768 2220331152 4440662304 16826836567 33653673134 50480509701 67307346268 100961019402 134614692536 201922038804 218748875371 269229385072 403844077608 437497750742 538458770144 656246626113 807688155216 874995501484 1312493252226 1615376310432 1749991002968 2624986504452 3499982005936 5249973008904 6999964011872 10499946017808 20999892035616