Search a number
-
+
293139529104 = 243171376613967
BaseRepresentation
bin1000100010000000111…
…10100011110110010000
31001000122101201222220110
410101000132203312100
514300322204412404
6342355541241320
730115161612432
oct4210036436620
91030571658813
10293139529104
11103357692a44
124898ba03240
13218486c9886
141028bd46652
15795a256b89
hex44407a3d90

293139529104 has 160 divisors (see below), whose sum is σ = 809101357056. Its totient is φ = 91132968960.

The previous prime is 293139529103. The next prime is 293139529117. The reversal of 293139529104 is 401925931392.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (293139529103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73892529 + ... + 73896495.

Almost surely, 2293139529104 is an apocalyptic number.

293139529104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 293139529104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404550678528).

293139529104 is an abundant number, since it is smaller than the sum of its proper divisors (515961827952).

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

293139529104 is a wasteful number, since it uses less digits than its factorization.

293139529104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4793 (or 4787 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The spelling of 293139529104 in words is "two hundred ninety-three billion, one hundred thirty-nine million, five hundred twenty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 137 204 272 274 408 411 548 661 816 822 1096 1322 1644 1983 2192 2329 2644 3288 3966 3967 4658 5288 6576 6987 7932 7934 9316 10576 11237 11901 13974 15864 15868 18632 22474 23802 27948 31728 31736 33711 37264 44948 47604 55896 63472 67422 67439 89896 90557 95208 111792 134844 134878 179792 181114 190416 202317 269688 269756 271671 362228 404634 539376 539512 543342 543479 724456 809268 1079024 1086684 1086958 1448912 1539469 1618536 1630437 2173368 2173916 2622187 3078938 3237072 3260874 4346736 4347832 4618407 5244374 6157876 6521748 7866561 8695664 9236814 9239143 10488748 12315752 13043496 15733122 18473628 18478286 20977496 24631504 26086992 27717429 31466244 36947256 36956572 41954992 44577179 55434858 62932488 73894512 73913144 89154358 110869716 125864976 133731537 147826288 178308716 221739432 267463074 356617432 359239619 443478864 534926148 713234864 718479238 1069852296 1077718857 1436958476 2139704592 2155437714 2873916952 4310875428 5747833904 6107073523 8621750856 12214147046 17243501712 18321220569 24428294092 36642441138 48856588184 73284882276 97713176368 146569764552 293139529104