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20262254705140 = 22571792621308489
BaseRepresentation
bin1001001101101101011000…
…11111100111100111110100
32122202001102100221212220011
410212312230133213213310
510123434044201031030
6111032203514350004
74160620363154650
oct446665437474764
978661370855804
1020262254705140
1165021a05aa678
122332b6412b304
13b3c951206636
145009ac42da60
15252103983b2a
hex126dac7e79f4

20262254705140 has 96 divisors (see below), whose sum is σ = 48919899974400. Its totient is φ = 6905590256640.

The previous prime is 20262254705123. The next prime is 20262254705141. The reversal of 20262254705140 is 4150745226202.

It is a junction number, because it is equal to n+sod(n) for n = 20262254705093 and 20262254705102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20262254705141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65528016 + ... + 65836504.

It is an arithmetic number, because the mean of its divisors is an integer number (509582291400).

Almost surely, 220262254705140 is an apocalyptic number.

20262254705140 is a gapful number since it is divisible by the number (20) 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 20262254705140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24459949987200).

20262254705140 is an abundant number, since it is smaller than the sum of its proper divisors (28657645269260).

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

20262254705140 is a wasteful number, since it uses less digits than its factorization.

20262254705140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311305 (or 311303 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 40.

The spelling of 20262254705140 in words is "twenty trillion, two hundred sixty-two billion, two hundred fifty-four million, seven hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 179 358 716 895 1253 1790 2506 2621 3580 5012 5242 6265 10484 12530 13105 18347 25060 26210 36694 52420 73388 91735 183470 308489 366940 469159 616978 938318 1233956 1542445 1876636 2159423 2345795 3084890 3284113 4318846 4691590 6169780 6568226 8637692 9383180 10797115 13136452 16420565 21594230 32841130 43188460 55219531 65682260 110439062 220878124 276097655 386536717 552195310 773073434 808549669 1104390620 1546146868 1617099338 1932683585 3234198676 3865367170 4042748345 5659847683 7730734340 8085496690 11319695366 16170993380 22639390732 28299238415 56598476830 113196953660 144730390751 289460781502 578921563004 723651953755 1013112735257 1447303907510 2026225470514 2894607815020 4052450941028 5065563676285 10131127352570 20262254705140