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9969919848 = 23327223122867
BaseRepresentation
bin10010100100100000…
…01110011101101000
3221201211011101220200
421102100032131220
5130404244413343
64325145552200
7502030630500
oct112220163550
927654141820
109969919848
11425683a389
121b22aa5660
13c2b6b7b75
146a8172a00
153d541a4d3
hex25240e768

9969919848 has 144 divisors (see below), whose sum is σ = 32776267680. Its totient is φ = 2724676416.

The previous prime is 9969919793. The next prime is 9969919877. The reversal of 9969919848 is 8489199699.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19711 + ... + 142577.

It is an arithmetic number, because the mean of its divisors is an integer number (227612970).

Almost surely, 29969919848 is an apocalyptic number.

9969919848 is a gapful number since it is divisible by the number (98) 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 9969919848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16388133840).

9969919848 is an abundant number, since it is smaller than the sum of its proper divisors (22806347832).

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

9969919848 is a wasteful number, since it uses less digits than its factorization.

9969919848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122916 (or 122902 counting only the distinct ones).

The product of its digits is 90699264, while the sum is 72.

The square root of 9969919848 is about 99849.4859676303. The cubic root of 9969919848 is about 2152.2723296778.

The spelling of 9969919848 in words is "nine billion, nine hundred sixty-nine million, nine hundred nineteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 49 56 63 69 72 84 92 98 126 138 147 161 168 184 196 207 252 276 294 322 392 414 441 483 504 552 588 644 828 882 966 1127 1176 1288 1449 1656 1764 1932 2254 2898 3381 3528 3864 4508 5796 6762 9016 10143 11592 13524 20286 27048 40572 81144 122867 245734 368601 491468 737202 860069 982936 1105803 1474404 1720138 2211606 2580207 2825941 2948808 3440276 4423212 5160414 5651882 6020483 6880552 7740621 8477823 8846424 10320828 11303764 12040966 15481242 16955646 18061449 19781587 20641656 22607528 24081932 25433469 30962484 33911292 36122898 39563174 48163864 50866938 54184347 59344761 61924968 67822584 72245796 79126348 101733876 108368694 118689522 138471109 144491592 158252696 178034283 203467752 216737388 237379044 276942218 356068566 415413327 433474776 474758088 553884436 712137132 830826654 1107768872 1246239981 1424274264 1661653308 2492479962 3323306616 4984959924 9969919848