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20920597801216 = 2848725872
BaseRepresentation
bin1001100000110111101001…
…10011001110100100000000
32202001222201102122022020121
410300123310303032210000
510220230341014114331
6112254442343550024
74256314626150001
oct460336463164400
982058642568217
1020920597801216
116736415072843
12241a675a5b314
13b89a5b2535a9
145247c309d1a8
152642d5864c11
hex1306f4cce900

20920597801216 has 81 divisors (see below), whose sum is σ = 41916807323139. Its totient is φ = 10421036508672.

The previous prime is 20920597801211. The next prime is 20920597801217. The reversal of 20920597801216 is 61210879502902.

The square root of 20920597801216 is 4573904.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20920597801211) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 35639859675 + ... + 35639860261.

Almost surely, 220920597801216 is an apocalyptic number.

20920597801216 is the 4573904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20920597801216

20920597801216 is an abundant number, since it is smaller than the sum of its proper divisors (20996209521923).

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

20920597801216 is an frugal number, since it uses more digits than its factorization.

20920597801216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 52.

The spelling of 20920597801216 in words is "twenty trillion, nine hundred twenty billion, five hundred ninety-seven million, eight hundred one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 487 587 974 1174 1948 2348 3896 4696 7792 9392 15584 18784 31168 37568 62336 75136 124672 150272 237169 285869 344569 474338 571738 689138 948676 1143476 1378276 1897352 2286952 2756552 3794704 4573904 5513104 7589408 9147808 11026208 15178816 18295616 22052416 30357632 36591232 44104832 60715264 73182464 88209664 139218203 167805103 278436406 335610206 556872812 671220412 1113745624 1342440824 2227491248 2684881648 4454982496 5369763296 8909964992 10739526592 17819929984 21479053184 35639859968 42958106368 81721085161 163442170322 326884340644 653768681288 1307537362576 2615074725152 5230149450304 10460298900608 20920597801216