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21189806070912 = 273337165711071
BaseRepresentation
bin1001101000101101000101…
…10111010001110010000000
32210000201121000111100211000
410310112202313101302000
510234133210323232122
6113022243523252000
74314625101532023
oct464264267216200
983021530440730
1021189806070912
11682a601123346
12246288721a000
13ba926197132b
145338409811ba
1526b2deb580ac
hex1345a2dd1c80

21189806070912 has 128 divisors (see below), whose sum is σ = 64229611507200. Its totient is φ = 6872369495040.

The previous prime is 21189806070857. The next prime is 21189806070943. The reversal of 21189806070912 is 21907060898112.

It is a happy number.

21189806070912 is a `hidden beast` number, since 2 + 1 + 18 + 9 + 8 + 0 + 607 + 0 + 9 + 12 = 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 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, 82727664 + ... + 82983407.

It is an arithmetic number, because the mean of its divisors is an integer number (501793839900).

Almost surely, 221189806070912 is an apocalyptic number.

It is an amenable number.

21189806070912 is an abundant number, since it is smaller than the sum of its proper divisors (43039805436288).

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

21189806070912 is a wasteful number, since it uses less digits than its factorization.

21189806070912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165711131 (or 165711113 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 21189806070912 in words is "twenty-one trillion, one hundred eighty-nine billion, eight hundred six million, seventy thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 128 144 148 192 216 222 288 296 333 384 432 444 576 592 666 864 888 999 1152 1184 1332 1728 1776 1998 2368 2664 3456 3552 3996 4736 5328 7104 7992 10656 14208 15984 21312 31968 42624 63936 127872 165711071 331422142 497133213 662844284 994266426 1325688568 1491399639 1988532852 2651377136 2982799278 3977065704 4474198917 5302754272 5965598556 6131309627 7954131408 8948397834 10605508544 11931197112 12262619254 15908262816 17896795668 18393928881 21211017088 23862394224 24525238508 31816525632 35793591336 36787857762 47724788448 49050477016 55181786643 63633051264 71587182672 73575715524 95449576896 98100954032 110363573286 143174365344 147151431048 165545359929 190899153792 196201908064 220727146572 286348730688 294302862096 331090719858 392403816128 441454293144 572697461376 588605724192 662181439716 784807632256 882908586288 1177211448384 1324362879432 1765817172576 2354422896768 2648725758864 3531634345152 5297451517728 7063268690304 10594903035456 21189806070912