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98083935720 = 23335293131671
BaseRepresentation
bin101101101011001000…
…0100001010111101000
3100101011122020012012000
41123112100201113220
53101333441420340
6113020435051000
710041416461161
oct1332620412750
9311148205160
1098083935720
1138662908701
1217014140a60
139331872cb4
144a667b4768
152840e06d30
hex16d64215e8

98083935720 has 128 divisors (see below), whose sum is σ = 338220576000. Its totient is φ = 25253786880.

The previous prime is 98083935647. The next prime is 98083935721. The reversal of 98083935720 is 2753938089.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (98083935721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1534516 + ... + 1597155.

It is an arithmetic number, because the mean of its divisors is an integer number (2642348250).

Almost surely, 298083935720 is an apocalyptic number.

98083935720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

98083935720 is an abundant number, since it is smaller than the sum of its proper divisors (240136640280).

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

98083935720 is a wasteful number, since it uses less digits than its factorization.

98083935720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131720 (or 3131710 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 98083935720 in words is "ninety-eight billion, eighty-three million, nine hundred thirty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 87 90 108 116 120 135 145 174 180 216 232 261 270 290 348 360 435 522 540 580 696 783 870 1044 1080 1160 1305 1566 1740 2088 2610 3132 3480 3915 5220 6264 7830 10440 15660 31320 3131671 6263342 9395013 12526684 15658355 18790026 25053368 28185039 31316710 37580052 46975065 56370078 62633420 75160104 84555117 90818459 93950130 112740156 125266840 140925195 169110234 181636918 187900260 225480312 272455377 281850390 338220468 363273836 375800520 422775585 454092295 544910754 563700780 676440936 726547672 817366131 845551170 908184590 1089821508 1127401560 1362276885 1634732262 1691102340 1816369180 2179643016 2452098393 2724553770 3269464524 3382204680 3632738360 4086830655 4904196786 5449107540 6538929048 8173661310 9808393572 10898215080 12260491965 16347322620 19616787144 24520983930 32694645240 49041967860 98083935720