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9803149920 = 253258382021
BaseRepresentation
bin10010010000101000…
…00011001001100000
3221022012100121120200
421020110003021200
5130034101244140
64300431305200
7464634254004
oct111024031140
927265317520
109803149920
1141806936a3
121a9707b200
13c02c96b35
1468dd60704
153c5977030
hex248503260

9803149920 has 144 divisors (see below), whose sum is σ = 33856713072. Its totient is φ = 2582645760.

The previous prime is 9803149919. The next prime is 9803149927. The reversal of 9803149920 is 299413089.

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

It is a super-2 number, since 2×98031499202 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9803149927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78510 + ... + 160530.

It is an arithmetic number, because the mean of its divisors is an integer number (235116063).

Almost surely, 29803149920 is an apocalyptic number.

9803149920 is a gapful number since it is divisible by the number (90) 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 9803149920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16928356536).

9803149920 is an abundant number, since it is smaller than the sum of its proper divisors (24053563152).

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

9803149920 is a wasteful number, since it uses less digits than its factorization.

9803149920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82125 (or 82114 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 9803149920 is about 99010.8575864284. The cubic root of 9803149920 is about 2140.2042137782.

The spelling of 9803149920 in words is "nine billion, eight hundred three million, one hundred forty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 83 90 96 120 144 160 166 180 240 249 288 332 360 415 480 498 664 720 747 830 996 1245 1328 1440 1494 1660 1992 2490 2656 2988 3320 3735 3984 4980 5976 6640 7470 7968 9960 11952 13280 14940 19920 23904 29880 39840 59760 82021 119520 164042 246063 328084 410105 492126 656168 738189 820210 984252 1230315 1312336 1476378 1640420 1968504 2460630 2624672 2952756 3280840 3690945 3937008 4921260 5905512 6561680 6807743 7381890 7874016 9842520 11811024 13123360 13615486 14763780 19685040 20423229 23622048 27230972 29527560 34038715 39370080 40846458 54461944 59055120 61269687 68077430 81692916 102116145 108923888 118110240 122539374 136154860 163385832 204232290 217847776 245078748 272309720 306348435 326771664 408464580 490157496 544619440 612696870 653543328 816929160 980314992 1089238880 1225393740 1633858320 1960629984 2450787480 3267716640 4901574960 9803149920