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21315032376 = 233112292711301
BaseRepresentation
bin10011110110011110…
…011001010100111000
32001000110222211112120
4103312132121110320
5322123122014001
613443023041240
71353130533351
oct236636312470
961013884476
1021315032376
119048864340
12416a440220
132018c76bc1
141062bdad28
1584b42a236
hex4f6799538

21315032376 has 128 divisors (see below), whose sum is σ = 58646246400. Its totient is φ = 6402240000.

The previous prime is 21315032353. The next prime is 21315032449. The reversal of 21315032376 is 67323051312.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16382926 + ... + 16384226.

It is an arithmetic number, because the mean of its divisors is an integer number (458173800).

Almost surely, 221315032376 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 21315032376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29323123200).

21315032376 is an abundant number, since it is smaller than the sum of its proper divisors (37331214024).

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

21315032376 is a wasteful number, since it uses less digits than its factorization.

21315032376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

Adding to 21315032376 its reverse (67323051312), we get a palindrome (88638083688).

The spelling of 21315032376 in words is "twenty-one billion, three hundred fifteen million, thirty-two thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 229 264 271 458 542 687 813 916 1084 1301 1374 1626 1832 2168 2519 2602 2748 2981 3252 3903 5038 5204 5496 5962 6504 7557 7806 8943 10076 10408 11924 14311 15114 15612 17886 20152 23848 28622 30228 31224 35772 42933 57244 60456 62059 71544 85866 114488 124118 171732 186177 248236 297929 343464 352571 372354 496472 595858 682649 705142 744708 893787 1057713 1191716 1365298 1410284 1489416 1787574 2047947 2115426 2383432 2730596 2820568 3277219 3575148 3878281 4095894 4230852 5461192 6554438 7150296 7756562 8191788 8461704 9831657 11634843 13108876 15513124 16383576 19663314 23269686 26217752 31026248 39326628 46539372 78653256 80738759 93078744 161477518 242216277 322955036 484432554 645910072 888126349 968865108 1776252698 1937730216 2664379047 3552505396 5328758094 7105010792 10657516188 21315032376