Search a number
-
+
388334421697024 = 2911477320096597
BaseRepresentation
bin101100001001100000010011…
…1010000100110001000000000
31212220222102000112121102111001
41120103000213100212020000
5401344432343423301044
63453530212010301344
7144540143661264205
oct13023004720461000
91786872015542431
10388334421697024
1110280a781210590
1237679990127854
131388ba1814083a
146bc76b457bcac
152ed67097b82d4
hex1613027426200

388334421697024 has 160 divisors (see below), whose sum is σ = 876299133194496. Its totient is φ = 170393410437120.

The previous prime is 388334421696983. The next prime is 388334421697031. The reversal of 388334421697024 is 420796124433883.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9275094 + ... + 29371690.

Almost surely, 2388334421697024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388334421697024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438149566597248).

388334421697024 is an abundant number, since it is smaller than the sum of its proper divisors (487964711497472).

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

388334421697024 is a wasteful number, since it uses less digits than its factorization.

388334421697024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20096746 (or 20096730 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 64.

The spelling of 388334421697024 in words is "three hundred eighty-eight trillion, three hundred thirty-four billion, four hundred twenty-one million, six hundred ninety-seven thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 73 88 94 128 146 176 188 256 292 352 376 512 517 584 704 752 803 1034 1168 1408 1504 1606 2068 2336 2816 3008 3212 3431 4136 4672 5632 6016 6424 6862 8272 9344 12032 12848 13724 16544 18688 24064 25696 27448 33088 37376 37741 51392 54896 66176 75482 102784 109792 132352 150964 205568 219584 264704 301928 411136 439168 603856 878336 1207712 1756672 2415424 4830848 9661696 19323392 20096597 40193194 80386388 160772776 221062567 321545552 442125134 643091104 884250268 944540059 1286182208 1467051581 1768500536 1889080118 2572364416 2934103162 3537001072 3778160236 5144728832 5868206324 7074002144 7556320472 10289457664 10389940649 11736412648 14148004288 15112640944 16137567391 20779881298 23472825296 28296008576 30225281888 32275134782 41559762596 46945650592 56592017152 60450563776 64550269564 68951424307 83119525192 93891301184 113184034304 120901127552 129100539128 137902848614 166239050384 187782602368 241802255104 258201078256 275805697228 332478100768 375565204736 483604510208 516402156512 551611394456 664956201536 751130409472 758465667377 1032804313024 1103222788912 1329912403072 1516931334754 2065608626048 2206445577824 2659824806144 3033862669508 4131217252096 4412891155648 5319649612288 6067725339016 8262434504192 8825782311296 12135450678032 17651564622592 24270901356064 35303129245184 48541802712128 97083605424256 194167210848512 388334421697024