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18083957248 = 29724117581
BaseRepresentation
bin10000110101111000…
…110100101000000000
31201200022011012201101
4100311320310220000
5244013443112443
612150241544144
71210065046300
oct206570645000
951608135641
1018083957248
11773aa16815
123608345054
131922747c26
14c37a43600
1570c93e84d
hex435e34a00

18083957248 has 120 divisors (see below), whose sum is σ = 43059408084. Its totient is φ = 7560806400.

The previous prime is 18083957231. The next prime is 18083957251. The reversal of 18083957248 is 84275938081.

It can be written as a sum of positive squares in 2 ways, for example, as 15205849344 + 2878107904 = 123312^2 + 53648^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1019818 + ... + 1037398.

Almost surely, 218083957248 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 18083957248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21529704042).

18083957248 is an abundant number, since it is smaller than the sum of its proper divisors (24975450836).

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

18083957248 is an equidigital number, since it uses as much as digits as its factorization.

18083957248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17654 (or 17631 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 55.

The spelling of 18083957248 in words is "eighteen billion, eighty-three million, nine hundred fifty-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 41 49 56 64 82 98 112 128 164 196 224 256 287 328 392 448 512 574 656 784 896 1148 1312 1568 1792 2009 2296 2624 3136 3584 4018 4592 5248 6272 8036 9184 10496 12544 16072 17581 18368 20992 25088 32144 35162 36736 64288 70324 73472 123067 128576 140648 146944 246134 257152 281296 492268 514304 562592 720821 861469 984536 1028608 1125184 1441642 1722938 1969072 2250368 2883284 3445876 3938144 4500736 5045747 5766568 6891752 7876288 9001472 10091494 11533136 13783504 15752576 20182988 23066272 27567008 31505152 35320229 40365976 46132544 55134016 63010304 70640458 80731952 92265088 110268032 141280916 161463904 184530176 220536064 282561832 322927808 369060352 441072128 565123664 645855616 1130247328 1291711232 2260494656 2583422464 4520989312 9041978624 18083957248