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21332983478312 = 23114739231314779
BaseRepresentation
bin1001101100110111110001…
…11001101111100000101000
32210112102011022001021002202
410312123320321233200220
510244004422232301222
6113212123132115332
74331154134443532
oct466337071574050
983472138037082
1021332983478312
1168852a4029710
122486585005b48
13bb98cb8c163c
1453a744196852
1526edbe7b3892
hex1366f8e6f828

21332983478312 has 64 divisors (see below), whose sum is σ = 44575459660800. Its totient is φ = 9488069141440.

The previous prime is 21332983478273. The next prime is 21332983478363. The reversal of 21332983478312 is 21387438923312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15568139 + ... + 16882917.

It is an arithmetic number, because the mean of its divisors is an integer number (696491557200).

Almost surely, 221332983478312 is an apocalyptic number.

21332983478312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21332983478312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22287729830400).

21332983478312 is an abundant number, since it is smaller than the sum of its proper divisors (23242476182488).

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

21332983478312 is a wasteful number, since it uses less digits than its factorization.

21332983478312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318766 (or 1318762 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 56.

The spelling of 21332983478312 in words is "twenty-one trillion, three hundred thirty-two billion, nine hundred eighty-three million, four hundred seventy-eight thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 47 88 94 188 376 517 1034 2068 3923 4136 7846 15692 31384 43153 86306 172612 184381 345224 368762 737524 1314779 1475048 2028191 2629558 4056382 5259116 8112764 10518232 14462569 16225528 28925138 57850276 61794613 115700552 123589226 247178452 494356904 679740743 1359481486 2718962972 5157878017 5437925944 10315756034 20631512068 41263024136 56736658187 113473316374 226946632748 242420266799 453893265496 484840533598 969681067196 1939362134392 2666622934789 5333245869578 10666491739156 21332983478312