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20217244861572 = 22311331751616141
BaseRepresentation
bin1001001100011001100011…
…01100101100010010000100
32122120202020112222220222220
410212030301230230102010
510122214404141032242
6110555401333252340
74154435113621143
oct446146154542204
978522215886886
1020217244861572
1164950a3730a50
1223262a24940b0
13b3862a259bc5
144dc73c75b75a
15250d6c24dbec
hex126331b2c484

20217244861572 has 96 divisors (see below), whose sum is σ = 51686368032768. Its totient is φ = 6099786000000.

The previous prime is 20217244861559. The next prime is 20217244861591. The reversal of 20217244861572 is 27516844271202.

It is a super-2 number, since 2×202172448615722 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32504622 + ... + 33120762.

It is an arithmetic number, because the mean of its divisors is an integer number (538399667008).

Almost surely, 220217244861572 is an apocalyptic number.

20217244861572 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 20217244861572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25843184016384).

20217244861572 is an abundant number, since it is smaller than the sum of its proper divisors (31469123171196).

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

20217244861572 is a wasteful number, since it uses less digits than its factorization.

20217244861572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617241 (or 617239 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 51.

The spelling of 20217244861572 in words is "twenty trillion, two hundred seventeen billion, two hundred forty-four million, eight hundred sixty-one thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 331 662 751 993 1324 1502 1986 2253 3004 3641 3972 4506 7282 8261 9012 10923 14564 16522 21846 24783 33044 43692 49566 99132 248581 497162 616141 745743 994324 1232282 1491486 1848423 2464564 2734391 2982972 3696846 5468782 6777551 7393692 8203173 10937564 13555102 16406346 20332653 27110204 32812692 40665306 81330612 203942671 407885342 462721891 611828013 815770684 925443782 1223656026 1388165673 1850887564 2243369381 2447312052 2776331346 4486738762 5089940801 5552662692 6730108143 8973477524 10179881602 13460216286 15269822403 20359763204 26920432572 30539644806 61079289612 153160945921 306321891842 459482837763 612643783684 918965675526 1684770405131 1837931351052 3369540810262 5054311215393 6739081620524 10108622430786 20217244861572