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98517220542 = 234131273371093
BaseRepresentation
bin101101111000000010…
…1010111110010111110
3100102021211112100020000
41123300011113302332
53103230402024132
6113131433535130
710055230362216
oct1336005276276
9312254470200
1098517220542
1138865447a34
12171152744a6
1393a0569750
144aa8161246
152868e9287c
hex16f0157cbe

98517220542 has 160 divisors (see below), whose sum is σ = 240535206912. Its totient is φ = 29957630976.

The previous prime is 98517220519. The next prime is 98517220561. The reversal of 98517220542 is 24502271589.

98517220542 is a `hidden beast` number, since 9 + 85 + 1 + 7 + 2 + 20 + 542 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 90134148 + ... + 90135240.

Almost surely, 298517220542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98517220542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120267603456).

98517220542 is an abundant number, since it is smaller than the sum of its proper divisors (142017986370).

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

98517220542 is a wasteful number, since it uses less digits than its factorization.

98517220542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 98517220542 in words is "ninety-eight billion, five hundred seventeen million, two hundred twenty thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 127 162 234 254 337 351 381 674 702 762 1011 1053 1093 1143 1651 2022 2106 2186 2286 3033 3279 3302 3429 4381 4953 6066 6558 6858 8762 9099 9837 9906 10287 13143 14209 14859 18198 19674 20574 26286 27297 28418 29511 29718 39429 42627 42799 44577 54594 59022 78858 85254 85598 88533 89154 118287 127881 128397 133731 138811 177066 236574 255762 256794 267462 277622 354861 368341 383643 385191 416433 556387 709722 736682 767286 770382 832866 1105023 1112774 1150929 1155573 1249299 1669161 1804543 2210046 2301858 2311146 2498598 3315069 3338322 3466719 3609086 3747897 4788433 5007483 5413629 6630138 6933438 7495794 9576866 9945207 10014966 10827258 11243691 14365299 15022449 16240887 19890414 22487382 28730598 29835621 30044898 32481774 43095897 45067347 46779307 48722661 59671242 86191794 90134694 93558614 97445322 129287691 140337921 146167983 258575382 280675842 292335966 387863073 421013763 608130991 775726146 842027526 1216261982 1263041289 1824392973 2526082578 3648785946 3789123867 5473178919 7578247734 10946357838 16419536757 32839073514 49258610271 98517220542