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252034310352 = 243112959927479
BaseRepresentation
bin1110101010111001101…
…0100110000011010000
3220002112201000112022010
43222232122212003100
513112131240412402
6311441041542520
724131434201506
oct3525632460320
9802481015263
10252034310352
1197983885780
1240a19944a40
131a9c768a126
14c2aca7c676
156851707a6c
hex3aae6a60d0

252034310352 has 160 divisors (see below), whose sum is σ = 736024320000. Its totient is φ = 73614661120.

The previous prime is 252034310347. The next prime is 252034310371. The reversal of 252034310352 is 253013430252.

It is a congruent number.

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, 9158149 + ... + 9185627.

It is an arithmetic number, because the mean of its divisors is an integer number (4600152000).

Almost surely, 2252034310352 is an apocalyptic number.

252034310352 is a gapful number since it is divisible by the number (22) 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 252034310352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368012160000).

252034310352 is an abundant number, since it is smaller than the sum of its proper divisors (483990009648).

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

252034310352 is a wasteful number, since it uses less digits than its factorization.

252034310352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28129 (or 28123 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 252034310352 in words is "two hundred fifty-two billion, thirty-four million, three hundred ten thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 116 132 174 176 232 264 319 348 464 528 599 638 696 957 1198 1276 1392 1797 1914 2396 2552 3594 3828 4792 5104 6589 7188 7656 9584 13178 14376 15312 17371 19767 26356 27479 28752 34742 39534 52113 52712 54958 69484 79068 82437 104226 105424 109916 138968 158136 164874 191081 208452 219832 277936 302269 316272 329748 382162 416904 439664 573243 604538 659496 764324 796891 833808 906807 1146486 1209076 1318992 1528648 1593782 1813614 2292972 2390673 2418152 3057296 3187564 3627228 4585944 4781346 4836304 6375128 7254456 8765801 9171888 9562692 12750256 14508912 16459921 17531602 19125384 26297403 32919842 35063204 38250768 49379763 52594806 65839684 70126408 98759526 105189612 131679368 140252816 181059131 197519052 210379224 263358736 362118262 395038104 420758448 477337709 543177393 724236524 790076208 954675418 1086354786 1432013127 1448473048 1909350836 2172709572 2864026254 2896946096 3818701672 4345419144 5250714799 5728052508 7637403344 8690838288 10501429598 11456105016 15752144397 21002859196 22912210032 31504288794 42005718392 63008577588 84011436784 126017155176 252034310352