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21136664120 = 235111318232027
BaseRepresentation
bin10011101011110101…
…111110011000111000
32000120001100210021212
4103223311332120320
5321241441222440
613413212022252
71345533452315
oct235365763070
960501323255
1021136664120
118a67106660
12411a761988
131cbb024960
141047249d0c
1583a945465
hex4ebd7e638

21136664120 has 128 divisors (see below), whose sum is σ = 55929968640. Its totient is φ = 7087434240.

The previous prime is 21136664089. The next prime is 21136664137. The reversal of 21136664120 is 2146663112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10426547 + ... + 10428573.

It is an arithmetic number, because the mean of its divisors is an integer number (436952880).

Almost surely, 221136664120 is an apocalyptic number.

21136664120 is a gapful number since it is divisible by the number (20) 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 21136664120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27964984320).

21136664120 is an abundant number, since it is smaller than the sum of its proper divisors (34793304520).

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

21136664120 is a wasteful number, since it uses less digits than its factorization.

21136664120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885 (or 3881 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 21136664120 in words is "twenty-one billion, one hundred thirty-six million, six hundred sixty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 1823 2027 2860 3646 4054 5720 7292 8108 9115 10135 14584 16216 18230 20053 20270 22297 23699 26351 36460 40106 40540 44594 47398 52702 72920 80212 81080 89188 94796 100265 105404 111485 118495 131755 160424 178376 189592 200530 210808 222970 236990 260689 263510 289861 401060 445940 473980 521378 527020 579722 802120 891880 947960 1042756 1054040 1159444 1303445 1449305 2085512 2318888 2606890 2898610 3695221 5213780 5797220 7390442 10427560 11594440 14780884 18476105 29561768 36952210 40647431 48037873 73904420 81294862 96075746 147808840 162589724 192151492 203237155 240189365 325179448 384302984 406474310 480378730 528416603 812948620 960757460 1056833206 1625897240 1921514920 2113666412 2642083015 4227332824 5284166030 10568332060 21136664120