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21862986992 = 2472114753939
BaseRepresentation
bin10100010111001000…
…101011010011110000
32002102200001210221222
4110113020223103300
5324233411040432
614013235404212
71402533215600
oct242710532360
962380053858
1021862986992
1192aa0a47a0
1242a1a53668
1320a564c3c2
1410b58b6c00
1587e5b7112
hex51722b4f0

21862986992 has 120 divisors (see below), whose sum is σ = 54899700480. Its totient is φ = 8336657280.

The previous prime is 21862986989. The next prime is 21862986997. The reversal of 21862986992 is 29968926812.

It is a super-2 number, since 2×218629869922 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21862986997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378359 + ... + 432297.

It is an arithmetic number, because the mean of its divisors is an integer number (457497504).

Almost surely, 221862986992 is an apocalyptic number.

21862986992 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 21862986992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27449850240).

21862986992 is an abundant number, since it is smaller than the sum of its proper divisors (33036713488).

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

21862986992 is a wasteful number, since it uses less digits than its factorization.

21862986992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54019 (or 54006 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 62.

The spelling of 21862986992 in words is "twenty-one billion, eight hundred sixty-two million, nine hundred eighty-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 47 49 56 77 88 94 98 112 154 176 188 196 308 329 376 392 517 539 616 658 752 784 1034 1078 1232 1316 2068 2156 2303 2632 3619 4136 4312 4606 5264 7238 8272 8624 9212 14476 18424 25333 28952 36848 50666 53939 57904 101332 107878 202664 215756 377573 405328 431512 593329 755146 863024 1186658 1510292 2373316 2535133 2643011 3020584 4153303 4746632 5070266 5286022 6041168 8306606 9493264 10140532 10572044 16613212 17745931 20281064 21144088 27886463 29073121 33226424 35491862 40562128 42288176 55772926 58146242 66452848 70983724 111545852 116292484 124221517 141967448 195205241 223091704 232584968 248443034 283934896 390410482 446183408 465169936 496886068 780820964 993772136 1366436687 1561641928 1987544272 2732873374 3123283856 5465746748 10931493496 21862986992