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11474074337712 = 2437191724724671
BaseRepresentation
bin1010011011111000010000…
…1000000000000110110000
31111121220120222011021210120
42212332010020000012300
53000442401012301322
640223041133530240
72262655154441520
oct246760410000660
944556528137716
1011474074337712
113724144920628
121353904343980
1365300132844c
142b94c34d5680
1514d70121ea5c
hexa6f842001b0

11474074337712 has 160 divisors (see below), whose sum is σ = 34059278352384. Its totient is φ = 3260560876800.

The previous prime is 11474074337711. The next prime is 11474074337729. The reversal of 11474074337712 is 21773347047411.

It is not an unprimeable number, because it can be changed into a prime (11474074337711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 465071137 + ... + 465095807.

Almost surely, 211474074337712 is an apocalyptic number.

11474074337712 is a gapful number since it is divisible by the number (12) 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 11474074337712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17029639176192).

11474074337712 is an abundant number, since it is smaller than the sum of its proper divisors (22585204014672).

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

11474074337712 is a wasteful number, since it uses less digits than its factorization.

11474074337712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32127 (or 32121 counting only the distinct ones).

The product of its (nonzero) digits is 2765952, while the sum is 51.

The spelling of 11474074337712 in words is "eleven trillion, four hundred seventy-four billion, seventy-four million, three hundred thirty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 191 336 382 573 764 1146 1337 1528 2292 2674 3056 4011 4584 5348 7247 8022 9168 10696 14494 16044 21392 21741 24671 28988 32088 43482 49342 50729 57976 64176 74013 86964 98684 101458 115952 148026 152187 172697 173928 197368 202916 296052 304374 345394 347856 394736 405832 518091 592104 608748 690788 811664 1036182 1184208 1217496 1381576 1384177 2072364 2434992 2763152 2768354 4144728 4152531 4712161 5536708 8289456 8305062 9424322 9689239 11073416 14136483 16610124 18848644 19378478 22146832 28272966 29067717 32985127 33220248 37697288 38756956 56545932 58135434 65970254 66440496 75394576 77513912 98955381 113091864 116270868 131940508 155027824 178790737 197910762 226183728 232541736 263881016 357581474 395821524 465083472 527762032 536372211 715162948 791643048 1072744422 1251535159 1430325896 1583286096 2145488844 2503070318 2860651792 3754605477 4290977688 5006140636 7509210954 8581955376 10012281272 15018421908 20024562544 30036843816 34149030767 60073687632 68298061534 102447092301 136596123068 204894184602 239043215369 273192246136 409788369204 478086430738 546384492272 717129646107 819576738408 956172861476 1434259292214 1639153476816 1912345722952 2868518584428 3824691445904 5737037168856 11474074337712