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21341935008 = 2532593373727
BaseRepresentation
bin10011111000000101…
…000001010110100000
32001002100121122000100
4103320011001112200
5322202013410013
613445423422400
71353605311602
oct237005012640
961070548010
1021341935008
119061a69719
124177454a00
132021706114
141066601172
1584d991473
hex4f81415a0

21341935008 has 144 divisors (see below), whose sum is σ = 61919544960. Its totient is φ = 6970779648.

The previous prime is 21341934989. The next prime is 21341935049. The reversal of 21341935008 is 80053914312.

21341935008 is a `hidden beast` number, since 2 + 134 + 19 + 3 + 500 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5724441 + ... + 5728167.

It is an arithmetic number, because the mean of its divisors is an integer number (429996840).

Almost surely, 221341935008 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 21341935008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30959772480).

21341935008 is an abundant number, since it is smaller than the sum of its proper divisors (40577609952).

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

21341935008 is a wasteful number, since it uses less digits than its factorization.

21341935008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4139 (or 4128 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 21341935008 in words is "twenty-one billion, three hundred forty-one million, nine hundred thirty-five thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 72 96 118 144 177 236 288 337 354 472 531 674 708 944 1011 1062 1348 1416 1888 2022 2124 2696 2832 3033 3727 4044 4248 5392 5664 6066 7454 8088 8496 10784 11181 12132 14908 16176 16992 19883 22362 24264 29816 32352 33543 39766 44724 48528 59632 59649 67086 79532 89448 97056 119264 119298 134172 159064 178896 178947 219893 238596 268344 318128 357792 357894 439786 477192 536688 636256 659679 715788 879572 954384 1073376 1255999 1319358 1431576 1759144 1908768 1979037 2511998 2638716 2863152 3518288 3767997 3958074 5023996 5277432 5726304 7036576 7535994 7916148 10047992 10554864 11303991 15071988 15832296 20095984 21109728 22607982 30143976 31664592 40191968 45215964 60287952 63329184 74103941 90431928 120575904 148207882 180863856 222311823 296415764 361727712 444623646 592831528 666935469 889247292 1185663056 1333870938 1778494584 2371326112 2667741876 3556989168 5335483752 7113978336 10670967504 21341935008