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21150070080 = 263534963127
BaseRepresentation
bin10011101100101001…
…000111010101000000
32000120222120212210220
4103230221013111000
5321303404220310
613414411223040
71346055425616
oct235451072500
960528525726
1021150070080
118a73732767
124123147a80
131cc0a39889
141048d396b6
1583bbe2670
hex4eca47540

21150070080 has 112 divisors (see below), whose sum is σ = 67344950400. Its totient is φ = 5623769088.

The previous prime is 21150070079. The next prime is 21150070099. The reversal of 21150070080 is 8007005112.

It is a super-2 number, since 2×211500700802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21150070080.

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, 303477 + ... + 366603.

It is an arithmetic number, because the mean of its divisors is an integer number (601294200).

Almost surely, 221150070080 is an apocalyptic number.

21150070080 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 21150070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33672475200).

21150070080 is an abundant number, since it is smaller than the sum of its proper divisors (46194880320).

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

21150070080 is a wasteful number, since it uses less digits than its factorization.

21150070080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63496 (or 63486 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

Adding to 21150070080 its reverse (8007005112), we get a palindrome (29157075192).

The spelling of 21150070080 in words is "twenty-one billion, one hundred fifty million, seventy thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 349 480 698 960 1047 1396 1745 2094 2792 3490 4188 5235 5584 6980 8376 10470 11168 13960 16752 20940 22336 27920 33504 41880 55840 63127 67008 83760 111680 126254 167520 189381 252508 315635 335040 378762 505016 631270 757524 946905 1010032 1262540 1515048 1893810 2020064 2525080 3030096 3787620 4040128 5050160 6060192 7575240 10100320 12120384 15150480 20200640 22031323 30300960 44062646 60601920 66093969 88125292 110156615 132187938 176250584 220313230 264375876 330469845 352501168 440626460 528751752 660939690 705002336 881252920 1057503504 1321879380 1410004672 1762505840 2115007008 2643758760 3525011680 4230014016 5287517520 7050023360 10575035040 21150070080