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98459423920 = 245111347183119
BaseRepresentation
bin101101110110010100…
…0111001010010110000
3100102010210202222011101
41123230220321102300
53103121103031140
6113122011054144
710053626203024
oct1335450712260
9312123688141
1098459423920
1138835861530
12170b9a41354
1393915b1670
144aa05d8384
152863d7799a
hex16eca394b0

98459423920 has 160 divisors (see below), whose sum is σ = 274662420480. Its totient is φ = 32345963520.

The previous prime is 98459423899. The next prime is 98459423939. The reversal of 98459423920 is 2932495489.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446121 + ... + 629239.

It is an arithmetic number, because the mean of its divisors is an integer number (1716640128).

Almost surely, 298459423920 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 98459423920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137331210240).

98459423920 is an abundant number, since it is smaller than the sum of its proper divisors (176202996560).

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

98459423920 is a wasteful number, since it uses less digits than its factorization.

98459423920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183203 (or 183197 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 55.

The spelling of 98459423920 in words is "ninety-eight billion, four hundred fifty-nine million, four hundred twenty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 47 52 55 65 80 88 94 104 110 130 143 176 188 208 220 235 260 286 376 440 470 517 520 572 611 715 752 880 940 1034 1040 1144 1222 1430 1880 2068 2288 2444 2585 2860 3055 3760 4136 4888 5170 5720 6110 6721 8272 9776 10340 11440 12220 13442 20680 24440 26884 33605 41360 48880 53768 67210 107536 134420 183119 268840 366238 537680 732476 915595 1464952 1831190 2014309 2380547 2929904 3662380 4028618 4761094 7324760 8057236 8606593 9522188 10071545 11902735 14649520 16114472 17213186 19044376 20143090 23805470 26186017 32228944 34426372 38088752 40286180 43032965 47610940 52372034 68852744 80572360 86065930 94672523 95221880 104744068 111885709 130930085 137705488 161144720 172131860 189345046 190443760 209488136 223771418 261860170 344263720 378690092 418976272 447542836 473362615 523720340 559428545 688527440 757380184 895085672 946725230 1047440680 1118857090 1230742799 1514760368 1790171344 1893450460 2094881360 2237714180 2461485598 3786900920 4475428360 4922971196 6153713995 7573801840 8950856720 9845942392 12307427990 19691884784 24614855980 49229711960 98459423920