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9949125648 = 24371119141677
BaseRepresentation
bin10010100010000001…
…11001110000010000
3221200101000221122010
421101000321300100
5130333434010043
64323124142520
7501356113140
oct112100716020
927611027563
109949125648
1142460273a0
121b17b37a40
13c272b70c7
146a54bc920
153d36ae133
hex251039c10

9949125648 has 160 divisors (see below), whose sum is σ = 33730698240. Its totient is φ = 2448161280.

The previous prime is 9949125551. The next prime is 9949125649. The reversal of 9949125648 is 8465219499.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (9949125649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 615 + ... + 141062.

It is an arithmetic number, because the mean of its divisors is an integer number (210816864).

Almost surely, 29949125648 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 9949125648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16865349120).

9949125648 is an abundant number, since it is smaller than the sum of its proper divisors (23781572592).

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

9949125648 is a wasteful number, since it uses less digits than its factorization.

9949125648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141725 (or 141719 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 57.

The square root of 9949125648 is about 99745.3038894564. The cubic root of 9949125648 is about 2150.7749611604.

The spelling of 9949125648 in words is "nine billion, nine hundred forty-nine million, one hundred twenty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 19 21 22 24 28 33 38 42 44 48 56 57 66 76 77 84 88 112 114 132 133 152 154 168 176 209 228 231 264 266 304 308 336 399 418 456 462 528 532 616 627 798 836 912 924 1064 1232 1254 1463 1596 1672 1848 2128 2508 2926 3192 3344 3696 4389 5016 5852 6384 8778 10032 11704 17556 23408 35112 70224 141677 283354 425031 566708 850062 991739 1133416 1558447 1700124 1983478 2266832 2691863 2975217 3116894 3400248 3966956 4675341 5383726 5950434 6233788 6800496 7933912 8075589 9350682 10767452 10909129 11900868 12467576 15867824 16151178 18701364 18843041 21534904 21818258 23801736 24935152 29610493 32302356 32727387 37402728 37686082 43069808 43636516 47603472 56529123 59220986 64604712 65454774 74805456 75372164 87273032 88831479 113058246 118441972 129209424 130909548 150744328 174546064 177662958 207273451 226116492 236883944 261819096 301488656 355325916 414546902 452232984 473767888 523638192 621820353 710651832 829093804 904465968 1243640706 1421303664 1658187608 2487281412 3316375216 4974562824 9949125648