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20838347244 = 2232111317238109
BaseRepresentation
bin10011011010000011…
…111111000111101100
31222210021000201110200
4103122003333013230
5320134104102434
613323434033500
71335252012651
oct233203770754
958707021420
1020838347244
118923781790
124056878890
131c71295cb0
141019793c28
1581e66a199
hex4da0ff1ec

20838347244 has 144 divisors (see below), whose sum is σ = 65524062240. Its totient is φ = 5486008320.

The previous prime is 20838347209. The next prime is 20838347249. The reversal of 20838347244 is 44274383802.

20838347244 is a `hidden beast` number, since 20 + 8 + 383 + 4 + 7 + 244 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20838347244.

It is not an unprimeable number, because it can be changed into a prime (20838347249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31539 + ... + 206570.

It is an arithmetic number, because the mean of its divisors is an integer number (455028210).

Almost surely, 220838347244 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 20838347244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32762031120).

20838347244 is an abundant number, since it is smaller than the sum of its proper divisors (44685714996).

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

20838347244 is a wasteful number, since it uses less digits than its factorization.

20838347244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238160 (or 238155 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 20838347244 in words is "twenty billion, eight hundred thirty-eight million, three hundred forty-seven thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 13 17 18 22 26 33 34 36 39 44 51 52 66 68 78 99 102 117 132 143 153 156 187 198 204 221 234 286 306 374 396 429 442 468 561 572 612 663 748 858 884 1122 1287 1326 1683 1716 1989 2244 2431 2574 2652 3366 3978 4862 5148 6732 7293 7956 9724 14586 21879 29172 43758 87516 238109 476218 714327 952436 1428654 2142981 2619199 2857308 3095417 4047853 4285962 5238398 6190834 7857597 8095706 8571924 9286251 10476796 12143559 12381668 15715194 16191412 18572502 23572791 24287118 27858753 31430388 34049587 36430677 37145004 44526383 47145582 48574236 52622089 55717506 68099174 72861354 89052766 94291164 102148761 105244178 111435012 133579149 136198348 145722708 157866267 178105532 204297522 210488356 267158298 306446283 315732534 400737447 408595044 473598801 534316596 578842979 612892566 631465068 801474894 947197602 1157685958 1225785132 1602949788 1736528937 1894395204 2315371916 3473057874 5209586811 6946115748 10419173622 20838347244