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21057121792 = 297192910663
BaseRepresentation
bin10011100111000110…
…100010111000000000
32000100111200121201201
4103213012202320000
5321111110344132
613401251110544
71343546403430
oct234706427000
960314617651
1021057121792
118a262182a3
1240b7ba2454
131ca76c49a5
14103a8622c0
158339822e7
hex4e71a2e00

21057121792 has 160 divisors (see below), whose sum is σ = 52364505600. Its totient is φ = 8253923328.

The previous prime is 21057121753. The next prime is 21057121847. The reversal of 21057121792 is 29712175012.

It is a happy number.

It is a super-3 number, since 3×210571217923 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

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, 1969453 + ... + 1980115.

It is an arithmetic number, because the mean of its divisors is an integer number (327278160).

Almost surely, 221057121792 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 21057121792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26182252800).

21057121792 is an abundant number, since it is smaller than the sum of its proper divisors (31307383808).

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

21057121792 is a wasteful number, since it uses less digits than its factorization.

21057121792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10736 (or 10720 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 37.

The spelling of 21057121792 in words is "twenty-one billion, fifty-seven million, one hundred twenty-one thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 19 28 29 32 38 56 58 64 76 112 116 128 133 152 203 224 232 256 266 304 406 448 464 512 532 551 608 812 896 928 1064 1102 1216 1624 1792 1856 2128 2204 2432 3248 3584 3712 3857 4256 4408 4864 6496 7424 7714 8512 8816 9728 10663 12992 14848 15428 17024 17632 21326 25984 30856 34048 35264 42652 51968 61712 68096 70528 74641 85304 103936 123424 141056 149282 170608 202597 246848 282112 298564 309227 341216 405194 493696 597128 618454 682432 810388 987392 1194256 1236908 1364864 1418179 1620776 1974784 2164589 2388512 2473816 2729728 2836358 3241552 4329178 4777024 4947632 5459456 5672716 5875313 6483104 8658356 9554048 9895264 11345432 11750626 12966208 17316712 19108096 19790528 22690864 23501252 25932416 34633424 38216192 39581056 41127191 45381728 47002504 51864832 69266848 79162112 82254382 90763456 94005008 103729664 138533696 158324224 164508764 181526912 188010016 277067392 329017528 363053824 376020032 554134784 658035056 726107648 752040064 1108269568 1316070112 1504080128 2632140224 3008160256 5264280448 10528560896 21057121792