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73059916398 = 23722916352571
BaseRepresentation
bin100010000001010110…
…1011101101001101110
320222120200010022001120
41010002231131221232
52144111314311043
653321355321410
75164331020500
oct1040255355156
9228520108046
1073059916398
1128a914665a7
12121ab750266
136b74379a81
143771177d70
151d7908c983
hex1102b5da6e

73059916398 has 96 divisors (see below), whose sum is σ = 176919500160. Its totient is φ = 20030431680.

The previous prime is 73059916373. The next prime is 73059916411. The reversal of 73059916398 is 89361995037.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1363453 + ... + 1416023.

It is an arithmetic number, because the mean of its divisors is an integer number (1842911460).

Almost surely, 273059916398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73059916398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88459750080).

73059916398 is an abundant number, since it is smaller than the sum of its proper divisors (103859583762).

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

73059916398 is a wasteful number, since it uses less digits than its factorization.

73059916398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52782 (or 52775 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 60.

The spelling of 73059916398 in words is "seventy-three billion, fifty-nine million, nine hundred sixteen thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 7 14 21 29 42 49 58 87 98 147 163 174 203 294 326 406 489 609 978 1141 1218 1421 2282 2842 3423 4263 4727 6846 7987 8526 9454 14181 15974 23961 28362 33089 47922 52571 66178 99267 105142 157713 198534 231623 315426 367997 463246 694869 735994 1103991 1389738 1524559 2207982 2575979 3049118 4573677 5151958 7727937 8569073 9147354 10671913 15455874 17138146 21343826 25707219 32015739 51414438 59983511 64031478 74703391 119967022 149406782 179950533 224110173 248503117 359901066 419884577 448220346 497006234 745509351 839769154 1259653731 1491018702 1739521819 2519307462 3479043638 5218565457 10437130914 12176652733 24353305466 36529958199 73059916398