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11087466624 = 27341382261
BaseRepresentation
bin10100101001101110…
…10101000010000000
31001121201000122220000
422110313111002000
5140201342412444
65032110520000
7541520624403
oct122467250200
931551018800
1011087466624
11477a649863
122195206000
1310790a0450
1477275bd3a
1544d5ba469
hex294dd5080

11087466624 has 160 divisors (see below), whose sum is σ = 35534716140. Its totient is φ = 3411486720.

The previous prime is 11087466569. The next prime is 11087466647. The reversal of 11087466624 is 42666478011.

It can be written as a sum of positive squares in 2 ways, for example, as 9101160000 + 1986306624 = 95400^2 + 44568^2 .

It is a super-2 number, since 2×110874666242 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11087466624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 93654 + ... + 175914.

Almost surely, 211087466624 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 11087466624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17767358070).

11087466624 is an abundant number, since it is smaller than the sum of its proper divisors (24447249516).

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

11087466624 is an equidigital number, since it uses as much as digits as its factorization.

11087466624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82300 (or 82279 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 11087466624 in words is "eleven billion, eighty-seven million, four hundred sixty-six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 192 208 216 234 288 312 324 351 384 416 432 468 576 624 648 702 832 864 936 1053 1152 1248 1296 1404 1664 1728 1872 2106 2496 2592 2808 3456 3744 4212 4992 5184 5616 7488 8424 10368 11232 14976 16848 22464 33696 44928 67392 82261 134784 164522 246783 329044 493566 658088 740349 987132 1069393 1316176 1480698 1974264 2138786 2221047 2632352 2961396 3208179 3948528 4277572 4442094 5264704 5922792 6416358 6663141 7897056 8555144 8884188 9624537 10529408 11845584 12832716 13326282 15794112 17110288 17768376 19249074 23691168 25665432 26652564 28873611 31588224 34220576 35536752 38498148 47382336 51330864 53305128 57747222 68441152 71073504 76996296 86620833 94764672 102661728 106610256 115494444 136882304 142147008 153992592 173241666 205323456 213220512 230988888 284294016 307985184 346483332 410646912 426441024 461977776 615970368 692966664 852882048 923955552 1231940736 1385933328 1847911104 2771866656 3695822208 5543733312 11087466624