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21352615320 = 23352916337643
BaseRepresentation
bin10011111000101101…
…110000110110011000
32001010002201020122110
4103320231300312120
5322212232142240
613450444352320
71354065143541
oct237055606630
961102636573
1021352615320
119067aa3a23
12417ab456a0
1320239a552a
141067bc14c8
1584e8a0c80
hex4f8b70d98

21352615320 has 128 divisors (see below), whose sum is σ = 66675052800. Its totient is φ = 5463811584.

The previous prime is 21352615309. The next prime is 21352615343. The reversal of 21352615320 is 2351625312.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 548419 + ... + 586061.

It is an arithmetic number, because the mean of its divisors is an integer number (520898850).

Almost surely, 221352615320 is an apocalyptic number.

21352615320 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 21352615320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33337526400).

21352615320 is an abundant number, since it is smaller than the sum of its proper divisors (45322437480).

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

21352615320 is a wasteful number, since it uses less digits than its factorization.

21352615320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37849 (or 37845 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 21352615320 in words is "twenty-one billion, three hundred fifty-two million, six hundred fifteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 163 174 232 290 326 348 435 489 580 652 696 815 870 978 1160 1304 1630 1740 1956 2445 3260 3480 3912 4727 4890 6520 9454 9780 14181 18908 19560 23635 28362 37643 37816 47270 56724 70905 75286 94540 112929 113448 141810 150572 188215 189080 225858 283620 301144 376430 451716 564645 567240 752860 903432 1091647 1129290 1505720 2183294 2258580 3274941 4366588 4517160 5458235 6135809 6549882 8733176 10916470 12271618 13099764 16374705 18407427 21832940 24543236 26199528 30679045 32749410 36814854 43665880 49086472 61358090 65498820 73629708 92037135 122716180 130997640 147259416 177938461 184074270 245432360 355876922 368148540 533815383 711753844 736297080 889692305 1067630766 1423507688 1779384610 2135261532 2669076915 3558769220 4270523064 5338153830 7117538440 10676307660 21352615320