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11433516540424 = 23113761118748497
BaseRepresentation
bin1010011001100001001010…
…1100010010001000001000
31111111000220102111201021021
42212120102230102020020
52444311320213243144
640152252431322224
72260021125032536
oct246302254221010
944430812451237
1011433516540424
113708a2201a1a0
121347a85680374
1364c239835624
142b7556c09156
1514c62a7a4884
hexa6612b12208

11433516540424 has 128 divisors (see below), whose sum is σ = 24433633825920. Its totient is φ = 4969404518400.

The previous prime is 11433516540389. The next prime is 11433516540431. The reversal of 11433516540424 is 42404561533411.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235732944 + ... + 235781440.

It is an arithmetic number, because the mean of its divisors is an integer number (190887764265).

Almost surely, 211433516540424 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 11433516540424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12216816912960).

11433516540424 is an abundant number, since it is smaller than the sum of its proper divisors (13000117285496).

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

11433516540424 is a wasteful number, since it uses less digits than its factorization.

11433516540424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49799 (or 49795 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 43.

The spelling of 11433516540424 in words is "eleven trillion, four hundred thirty-three billion, five hundred sixteen million, five hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 37 44 61 74 88 122 148 244 296 407 488 671 814 1187 1342 1628 2257 2374 2684 3256 4514 4748 5368 9028 9496 13057 18056 24827 26114 43919 48497 49654 52228 72407 87838 96994 99308 104456 144814 175676 193988 198616 289628 351352 387976 483109 533467 579256 796477 966218 1066934 1592954 1794389 1932436 2133868 2679059 2958317 3185908 3588778 3864872 4267736 5358118 5916634 6371816 7177556 10716236 11833268 14355112 19738279 21432472 23666536 29469649 32541487 39476558 57565939 58939298 65082974 78953116 109457729 115131878 117878596 130165948 157906232 218915458 230263756 235757192 260331896 437830916 460527512 633225329 875661832 1204035019 1266450658 2129939743 2408070038 2532901316 3511522279 4259879486 4816140076 5065802632 7023044558 8519758972 9632280152 14046089116 17039517944 23429337173 28092178232 38626745069 46858674346 77253490138 93717348692 129926324323 154506980276 187434697384 259852648646 309013960552 519705297292 1039410594584 1429189567553 2858379135106 5716758270212 11433516540424