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12451920388608 = 293591071284131
BaseRepresentation
bin1011010100110011000001…
…0010101010001000000000
31122002101120202000111100010
42311030300102222020000
53113003013104413413
642252155552224520
72423423123643621
oct265146022521000
948071522014303
1012451920388608
113a70914490678
121491322b3b140
136c42988bc75c
14310967565a48
15168d82a97dc3
hexb53304aa200

12451920388608 has 160 divisors (see below), whose sum is σ = 34050249573120. Its totient is φ = 4042153594880.

The previous prime is 12451920388547. The next prime is 12451920388619. The reversal of 12451920388608 is 80688302915421.

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, 9054703 + ... + 10338833.

It is an arithmetic number, because the mean of its divisors is an integer number (212814059832).

Almost surely, 212451920388608 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 12451920388608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17025124786560).

12451920388608 is an abundant number, since it is smaller than the sum of its proper divisors (21598329184512).

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

12451920388608 is a wasteful number, since it uses less digits than its factorization.

12451920388608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284318 (or 1284302 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 57.

The spelling of 12451920388608 in words is "twelve trillion, four hundred fifty-one billion, nine hundred twenty million, three hundred eighty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 107 118 128 177 192 214 236 256 321 354 384 428 472 512 642 708 768 856 944 1284 1416 1536 1712 1888 2568 2832 3424 3776 5136 5664 6313 6848 7552 10272 11328 12626 13696 15104 18939 20544 22656 25252 27392 30208 37878 41088 45312 50504 54784 75756 82176 90624 101008 151512 164352 202016 303024 404032 606048 808064 1212096 1284131 1616128 2424192 2568262 3232256 3852393 4848384 5136524 7704786 9696768 10273048 15409572 20546096 30819144 41092192 61638288 75763729 82184384 123276576 137402017 151527458 164368768 227291187 246553152 274804034 303054916 328737536 412206051 454582374 493106304 549608068 606109832 657475072 824412102 909164748 986212608 1099216136 1212219664 1648824204 1818329496 1972425216 2198432272 2424439328 3297648408 3636658992 4396864544 4848878656 6595296816 7273317984 8106719003 8793729088 9697757312 13190593632 14546635968 16213438006 17587458176 19395514624 24320157009 26381187264 29093271936 32426876012 35174916352 38791029248 48640314018 52762374528 58186543872 64853752024 70349832704 97280628036 105524749056 116373087744 129707504048 194561256072 211049498112 259415008096 389122512144 518830016192 778245024288 1037660032384 1556490048576 2075320064768 3112980097152 4150640129536 6225960194304 12451920388608