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21015244512 = 2532293337739
BaseRepresentation
bin10011100100100110…
…110010111011100000
32000020120220000220100
4103210212302323200
5321014400311022
613353153342400
71342530426303
oct234446627340
960216800810
1021015244512
118a04615279
1240a5b67a00
131c9bb21832
141035080b3a
1582ee5e1ac
hex4e49b2ee0

21015244512 has 144 divisors (see below), whose sum is σ = 60225394320. Its totient is φ = 6951038976.

The previous prime is 21015244457. The next prime is 21015244513. The reversal of 21015244512 is 21544251012.

It is a happy number.

21015244512 is a `hidden beast` number, since 2 + 101 + 5 + 2 + 44 + 512 = 666.

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

It is a super-2 number, since 2×210152445122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21015244513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28437039 + ... + 28437777.

It is an arithmetic number, because the mean of its divisors is an integer number (418231905).

Almost surely, 221015244512 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 21015244512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30112697160).

21015244512 is an abundant number, since it is smaller than the sum of its proper divisors (39210149808).

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

21015244512 is a wasteful number, since it uses less digits than its factorization.

21015244512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 21015244512 its reverse (21544251012), we get a palindrome (42559495524).

The spelling of 21015244512 in words is "twenty-one billion, fifteen million, two hundred forty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 293 337 586 674 739 879 1011 1172 1348 1478 1758 2022 2217 2344 2637 2696 2956 3033 3516 4044 4434 4688 5274 5392 5912 6066 6651 7032 8088 8868 9376 10548 10784 11824 12132 13302 14064 16176 17736 21096 23648 24264 26604 28128 32352 35472 42192 48528 53208 70944 84384 97056 98741 106416 197482 212832 216527 249043 296223 394964 433054 498086 592446 649581 747129 789928 866108 888669 996172 1184892 1299162 1494258 1579856 1732216 1777338 1948743 1992344 2241387 2369784 2598324 2988516 3159712 3464432 3554676 3897486 3984688 4482774 4739568 5196648 5977032 6928864 7109352 7794972 7969376 8965548 9479136 10393296 11954064 14218704 15589944 17931096 20786592 23908128 28437408 31179888 35862192 62359776 71724384 72969599 145939198 218908797 291878396 437817594 583756792 656726391 875635188 1167513584 1313452782 1751270376 2335027168 2626905564 3502540752 5253811128 7005081504 10507622256 21015244512