Search a number
-
+
230917572747960 = 23357289279503297
BaseRepresentation
bin110100100000010010101111…
…111001010110001010111000
31010021121111121200022222200220
4310200102233321112022320
5220231323142110413320
62135042022441100040
766432146501462640
oct6440225771261270
91107544550288626
10230917572747960
116763965789789a
1221a95457a87620
139bb0583a23c37
144104682167520
151ba6a68ea4e40
hexd204afe562b8

230917572747960 has 128 divisors (see below), whose sum is σ = 791744845086720. Its totient is φ = 52779329298432.

The previous prime is 230917572747949. The next prime is 230917572747991. The reversal of 230917572747960 is 69747275719032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19547032 + ... + 29050328.

It is an arithmetic number, because the mean of its divisors is an integer number (6185506602240).

Almost surely, 2230917572747960 is an apocalyptic number.

230917572747960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230917572747960 is an abundant number, since it is smaller than the sum of its proper divisors (560827272338760).

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

230917572747960 is a wasteful number, since it uses less digits than its factorization.

230917572747960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9532245 (or 9532241 counting only the distinct ones).

The product of its (nonzero) digits is 280052640, while the sum is 69.

The spelling of 230917572747960 in words is "two hundred thirty trillion, nine hundred seventeen billion, five hundred seventy-two million, seven hundred forty-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 28927 57854 86781 115708 144635 173562 202489 231416 289270 347124 404978 433905 578540 607467 694248 809956 867810 1012445 1157080 1214934 1619912 1735620 2024890 2429868 3037335 3471240 4049780 4859736 6074670 8099560 9503297 12149340 19006594 24298680 28509891 38013188 47516485 57019782 66523079 76026376 95032970 114039564 133046158 142549455 190065940 199569237 228079128 266092316 285098910 332615395 380131880 399138474 532184632 570197820 665230790 798276948 997846185 1140395640 1330461580 1596553896 1995692370 2660923160 3991384740 7982769480 274901872319 549803744638 824705616957 1099607489276 1374509361595 1649411233914 1924313106233 2199214978552 2749018723190 3298822467828 3848626212466 4123528084785 5498037446380 5772939318699 6597644935656 7697252424932 8247056169570 9621565531165 10996074892760 11545878637398 15394504849864 16494112339140 19243131062330 23091757274796 28864696593495 32988224678280 38486262124660 46183514549592 57729393186990 76972524249320 115458786373980 230917572747960