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146507535993 = 3713319971723
BaseRepresentation
bin1000100001110010000…
…1111001011001111001
3112000011100202221220210
42020130201321121321
54400021412122433
6151145444541333
713404410336310
oct2103441713171
9460140687823
10146507535993
1157151759265
12244890b1849
1310a7ab51000
14713b9d5277
153c271b0463
hex221c879679

146507535993 has 128 divisors (see below), whose sum is σ = 257347686400. Its totient is φ = 72414590976.

The previous prime is 146507535991. The next prime is 146507535997. The reversal of 146507535993 is 399535705641.

It is not a de Polignac number, because 146507535993 - 21 = 146507535991 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (146507535991) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85029630 + ... + 85031352.

It is an arithmetic number, because the mean of its divisors is an integer number (2010528800).

Almost surely, 2146507535993 is an apocalyptic number.

146507535993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

146507535993 is a deficient number, since it is larger than the sum of its proper divisors (110840150407).

146507535993 is a wasteful number, since it uses less digits than its factorization.

146507535993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 15309000, while the sum is 57.

The spelling of 146507535993 in words is "one hundred forty-six billion, five hundred seven million, five hundred thirty-five thousand, nine hundred ninety-three".

Divisors: 1 3 7 13 19 21 39 57 91 97 133 169 247 273 291 399 507 679 741 1183 1261 1723 1729 1843 2037 2197 3211 3549 3783 5169 5187 5529 6591 8827 9633 12061 12901 15379 16393 22399 22477 23959 26481 32737 36183 38703 41743 46137 49179 67197 67431 71877 98211 114751 125229 156793 167131 167713 213109 229159 291187 292201 311467 344253 425581 470379 501393 503139 639327 687477 873561 876603 934401 1169917 1276743 1491763 2038309 2172703 2180269 2979067 3175489 3509751 3785431 4049071 4475289 5532553 6114927 6518109 6540807 8937201 9526467 11356293 12147213 15208921 16597659 22228423 26498017 28245139 28343497 38727871 41281357 45626763 66685269 71923189 79494051 84735417 85030491 116183613 123844071 197715973 215769567 288969499 367186807 503462323 536657641 593147919 866908497 1101560421 1510386969 1609972923 2570307649 3756603487 6976549333 7710922947 11269810461 20929647999 48835845331 146507535993