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20922857370801 = 3814923792
BaseRepresentation
bin1001100000111011110110…
…11110110011010010110001
32202002012112220102100000000
410300131323132303102301
510220300002441331201
6112255454502220213
74256424624161301
oct460357336632261
982065486370000
1020922857370801
116737374589921
12241aba6724669
13b8a02b411009
14524959205601
152643b8debd86
hex13077b7b34b1

20922857370801 has 81 divisors (see below), whose sum is σ = 31678310584011. Its totient is φ = 13818400391376.

The previous prime is 20922857370773. The next prime is 20922857370829. The reversal of 20922857370801 is 10807375822902.

The square root of 20922857370801 is 4574151.

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

20922857370801 is a `hidden beast` number, since 209 + 228 + 5 + 73 + 70 + 80 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (20922857370773) and next prime (20922857370829).

It can be written as a sum of positive squares in only one way, i.e., 2451256791201 + 18471600579600 = 1565649^2 + 4297860^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 20922857370801 - 217 = 20922857239729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20922857370871) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 55205428230 + ... + 55205428608.

Almost surely, 220922857370801 is an apocalyptic number.

20922857370801 is the 4574151-st square number.

20922857370801 is the 2287076-th centered octagonal number.

It is an amenable number.

20922857370801 is a deficient number, since it is larger than the sum of its proper divisors (10755453213210).

20922857370801 is an frugal number, since it uses more digits than its factorization.

20922857370801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 20922857370801 in words is "twenty trillion, nine hundred twenty-two billion, eight hundred fifty-seven million, three hundred seventy thousand, eight hundred one".

Divisors: 1 3 9 27 81 149 243 379 447 729 1137 1341 2187 3411 4023 6561 10233 12069 22201 30699 36207 56471 66603 92097 108621 143641 169413 199809 276291 325863 430923 508239 599427 828873 977589 1292769 1524717 1798281 2486619 3878307 4574151 5394843 8414179 11634921 13722453 16184529 21402509 25242537 34904763 41167359 48553587 64207527 75727611 104714289 123502077 145660761 192622581 227182833 314142867 370506231 577867743 681548499 942428601 1733603229 2044645497 3188973841 5200809687 6133936491 9566921523 15602429061 18401809473 28700764569 46807287183 55205428419 86102293707 140421861549 258306881121 774920643363 2324761930089 6974285790267 20922857370801