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98045532144 = 24327472069519
BaseRepresentation
bin101101101001111111…
…0000001011111110000
3100101001221222002101100
41123103332001133300
53101244124012034
6113012544004400
710040442162330
oct1332376013760
9311057862340
1098045532144
113864316850a
1217003300700
139326917ca1
144a616590c0
15283c86d099
hex16d3f817f0

98045532144 has 120 divisors (see below), whose sum is σ = 320262359040. Its totient is φ = 27416974464.

The previous prime is 98045532133. The next prime is 98045532161. The reversal of 98045532144 is 44123554089.

98045532144 is a `hidden beast` number, since 9 + 80 + 4 + 553 + 2 + 14 + 4 = 666.

It is a super-2 number, since 2×980455321442 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 98045532144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 987384 + ... + 1082135.

It is an arithmetic number, because the mean of its divisors is an integer number (2668852992).

Almost surely, 298045532144 is an apocalyptic number.

98045532144 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

98045532144 is an abundant number, since it is smaller than the sum of its proper divisors (222216826896).

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

98045532144 is a wasteful number, since it uses less digits than its factorization.

98045532144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069587 (or 2069578 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 98045532144 in words is "ninety-eight billion, forty-five million, five hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 47 48 56 63 72 84 94 112 126 141 144 168 188 252 282 329 336 376 423 504 564 658 752 846 987 1008 1128 1316 1692 1974 2256 2632 2961 3384 3948 5264 5922 6768 7896 11844 15792 23688 47376 2069519 4139038 6208557 8278076 12417114 14486633 16556152 18625671 24834228 28973266 33112304 37251342 43459899 49668456 57946532 74502684 86919798 97267393 99336912 115893064 130379697 149005368 173839596 194534786 231786128 260759394 291802179 298010736 347679192 389069572 521518788 583604358 680871751 695358384 778139144 875406537 1043037576 1167208716 1361743502 1556278288 1750813074 2042615253 2086075152 2334417432 2723487004 3501626148 4085230506 4668834864 5446974008 6127845759 7003252296 8170461012 10893948016 12255691518 14006504592 16340922024 24511383036 32681844048 49022766072 98045532144