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20122631872 = 2671914531627
BaseRepresentation
bin10010101111011001…
…101111111011000000
31220221101021121112221
4102233121233323000
5312202343204442
613124425500424
71311441356140
oct225731577300
956841247487
1020122631872
118596779182
123a97041714
131b88c13785
14d8c6c8920
157cb8e1467
hex4af66fec0

20122631872 has 112 divisors (see below), whose sum is σ = 48099715840. Its totient is φ = 8159450112.

The previous prime is 20122631839. The next prime is 20122631899. The reversal of 20122631872 is 27813622102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12367123 + ... + 12368749.

Almost surely, 220122631872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20122631872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24049857920).

20122631872 is an abundant number, since it is smaller than the sum of its proper divisors (27977083968).

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

20122631872 is a wasteful number, since it uses less digits than its factorization.

20122631872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3118 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 20122631872 in words is "twenty billion, one hundred twenty-two million, six hundred thirty-one thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 1453 1627 2128 2906 3254 4256 5812 6508 8512 10171 11389 11624 13016 20342 22778 23248 26032 27607 30913 40684 45556 46496 52064 55214 61826 81368 91112 92992 104128 110428 123652 162736 182224 193249 216391 220856 247304 325472 364448 386498 432782 441712 494608 650944 728896 772996 865564 883424 989216 1545992 1731128 1766848 1978432 2364031 3091984 3462256 4728062 6183968 6924512 9456124 12367936 13849024 16548217 18912248 33096434 37824496 44916589 66192868 75648992 89833178 132385736 151297984 179666356 264771472 314416123 359332712 529542944 628832246 718665424 1059085888 1257664492 1437330848 2515328984 2874661696 5030657968 10061315936 20122631872