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98141229504 = 2633307184999
BaseRepresentation
bin101101101100110101…
…1000101000111000000
3100101022122001000111000
41123121223011013000
53101443123321004
6113030243052000
710043013454353
oct1333153050700
9311278030430
1098141229504
113869219033a
121702b371000
1393406b3246
144a7024a29a
152845e72c39
hex16d9ac51c0

98141229504 has 112 divisors (see below), whose sum is σ = 289458400000. Its totient is φ = 32607007488.

The previous prime is 98141229497. The next prime is 98141229523. The reversal of 98141229504 is 40592214189.

It is a happy number.

98141229504 is a `hidden beast` number, since 9 + 8 + 14 + 122 + 9 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 98141229504.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 437997 + ... + 622995.

It is an arithmetic number, because the mean of its divisors is an integer number (2584450000).

Almost surely, 298141229504 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 98141229504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144729200000).

98141229504 is an abundant number, since it is smaller than the sum of its proper divisors (191317170496).

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

98141229504 is a wasteful number, since it uses less digits than its factorization.

98141229504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185327 (or 185311 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

It can be divided in two parts, 98141 and 229504, that added together give a triangular number (327645 = T809).

The spelling of 98141229504 in words is "ninety-eight billion, one hundred forty-one million, two hundred twenty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 307 432 576 614 864 921 1228 1728 1842 2456 2763 3684 4912 5526 7368 8289 9824 11052 14736 16578 19648 22104 29472 33156 44208 58944 66312 88416 132624 176832 184999 265248 369998 530496 554997 739996 1109994 1479992 1664991 2219988 2959984 3329982 4439976 4994973 5919968 6659964 8879952 9989946 11839936 13319928 17759904 19979892 26639856 35519808 39959784 53279712 56794693 79919568 106559424 113589386 159839136 170384079 227178772 319678272 340768158 454357544 511152237 681536316 908715088 1022304474 1363072632 1533456711 1817430176 2044608948 2726145264 3066913422 3634860352 4089217896 5452290528 6133826844 8178435792 10904581056 12267653688 16356871584 24535307376 32713743168 49070614752 98141229504