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38848111488 = 273383135431
BaseRepresentation
bin100100001011100001…
…110010001110000000
310201021101120112112000
4210023201302032000
51114030104031423
625502505504000
72543456333154
oct441341621600
9121241515460
1038848111488
111552582316a
1276421a2000
133881534a24
141c47603064
151025801843
hex90b872380

38848111488 has 128 divisors (see below), whose sum is σ = 116038137600. Its totient is φ = 12793259520.

The previous prime is 38848111487. The next prime is 38848111499. The reversal of 38848111488 is 88411184883.

38848111488 is a `hidden beast` number, since 3 + 8 + 8 + 48 + 111 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38848111481) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 219133 + ... + 354563.

It is an arithmetic number, because the mean of its divisors is an integer number (906547950).

Almost surely, 238848111488 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 38848111488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58019068800).

38848111488 is an abundant number, since it is smaller than the sum of its proper divisors (77190026112).

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

38848111488 is a wasteful number, since it uses less digits than its factorization.

38848111488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135537 (or 135519 counting only the distinct ones).

The product of its digits is 1572864, while the sum is 54.

The spelling of 38848111488 in words is "thirty-eight billion, eight hundred forty-eight million, one hundred eleven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 83 96 108 128 144 166 192 216 249 288 332 384 432 498 576 664 747 864 996 1152 1328 1494 1728 1992 2241 2656 2988 3456 3984 4482 5312 5976 7968 8964 10624 11952 15936 17928 23904 31872 35856 47808 71712 95616 135431 143424 270862 286848 406293 541724 812586 1083448 1218879 1625172 2166896 2437758 3250344 3656637 4333792 4875516 6500688 7313274 8667584 9751032 11240773 13001376 14626548 17335168 19502064 22481546 26002752 29253096 33722319 39004128 44963092 52005504 58506192 67444638 78008256 89926184 101166957 117012384 134889276 156016512 179852368 202333914 234024768 269778552 303500871 359704736 404667828 468049536 539557104 607001742 719409472 809335656 1079114208 1214003484 1438818944 1618671312 2158228416 2428006968 3237342624 4316456832 4856013936 6474685248 9712027872 12949370496 19424055744 38848111488