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20402227968 = 283197571847
BaseRepresentation
bin10011000000000100…
…010100101100000000
31221122212101120021220
4103000010110230000
5313240432243333
613212254315040
71321405035123
oct230004245400
957585346256
1020402227968
11871a586931
123b547b8a80
131c01b19355
14db78aa3ba
157e621e8b3
hex4c0114b00

20402227968 has 144 divisors (see below), whose sum is σ = 57264049920. Its totient is φ = 6430814208.

The previous prime is 20402227961. The next prime is 20402227991. The reversal of 20402227968 is 86972220402.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20402227961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11045221 + ... + 11047067.

Almost surely, 220402227968 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 20402227968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28632024960).

20402227968 is an abundant number, since it is smaller than the sum of its proper divisors (36861821952).

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

20402227968 is a wasteful number, since it uses less digits than its factorization.

20402227968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 20402227968 in words is "twenty billion, four hundred two million, two hundred twenty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 757 768 912 1216 1514 1824 1847 2271 2432 3028 3648 3694 4542 4864 5541 6056 7296 7388 9084 11082 12112 14383 14592 14776 18168 22164 24224 28766 29552 35093 36336 43149 44328 48448 57532 59104 70186 72672 86298 88656 96896 105279 115064 118208 140372 145344 172596 177312 193792 210558 230128 236416 280744 290688 345192 354624 421116 460256 472832 561488 581376 690384 709248 842232 920512 1122976 1380768 1398179 1418496 1684464 1841024 2245952 2761536 2796358 3368928 3682048 4194537 4491904 5523072 5592716 6737856 8389074 8983808 11046144 11185432 13475712 16778148 22370864 26565401 26951424 33556296 44741728 53130802 67112592 79696203 89483456 106261604 134225184 159392406 178966912 212523208 268450368 318784812 357933824 425046416 536900736 637569624 850092832 1073801472 1275139248 1700185664 2550278496 3400371328 5100556992 6800742656 10201113984 20402227968