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1264444412 = 2272112343593
BaseRepresentation
bin100101101011101…
…1110001111111100
310021010021102122112
41023113132033330
510042144210122
6325245233152
743222412600
oct11327361774
93233242575
101264444412
11599822890
122b35627b8
13171c6937a
14bdd07500
157601a2e2
hex4b5de3fc

1264444412 has 144 divisors (see below), whose sum is σ = 3003340032. Its totient is φ = 459486720.

The previous prime is 1264444397. The next prime is 1264444421. The reversal of 1264444412 is 2144444621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2131988 + ... + 2132580.

It is an arithmetic number, because the mean of its divisors is an integer number (20856528).

Almost surely, 21264444412 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 1264444412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501670016).

1264444412 is an abundant number, since it is smaller than the sum of its proper divisors (1738895620).

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

1264444412 is a wasteful number, since it uses less digits than its factorization.

1264444412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 679 counting only the distinct ones).

The product of its digits is 24576, while the sum is 32.

The square root of 1264444412 is about 35559.0271520468. The cubic root of 1264444412 is about 1081.3507367937.

The spelling of 1264444412 in words is "one billion, two hundred sixty-four million, four hundred forty-four thousand, four hundred twelve".

Divisors: 1 2 4 7 11 14 22 23 28 43 44 46 49 77 86 92 98 154 161 172 196 253 301 308 322 473 506 539 593 602 644 946 989 1012 1078 1127 1186 1204 1771 1892 1978 2107 2156 2254 2372 3311 3542 3956 4151 4214 4508 6523 6622 6923 7084 8302 8428 10879 12397 13046 13244 13639 13846 16604 21758 23177 24794 25499 26092 27278 27692 29057 43516 45661 46354 48461 49588 50998 54556 58114 76153 91322 92708 95473 96922 101996 116228 150029 152306 178493 182644 190946 193844 280489 300058 304612 319627 356986 381892 533071 560978 586477 600116 639254 668311 713972 1050203 1066142 1121956 1172954 1249451 1278508 1336622 1963423 2100406 2132284 2345908 2498902 2673244 3926846 4105339 4200812 4997804 6451247 7351421 7853692 8210678 12902494 13743961 14702842 16421356 25804988 27487922 28737373 29405684 45158729 54975844 57474746 90317458 114949492 180634916 316111103 632222206 1264444412