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38100000384 = 273234795311
BaseRepresentation
bin100011011110111011…
…111101111010000000
310122100020212120000100
4203132323331322000
51111012100003014
625300343122400
72516103442215
oct433673757200
9118306776010
1038100000384
1115181503226
127473743400
13379254bc34
141bb6103b0c
15ececc9009
hex8deefde80

38100000384 has 96 divisors (see below), whose sum is σ = 109953829440. Its totient is φ = 12663267840.

The previous prime is 38100000371. The next prime is 38100000413. The reversal of 38100000384 is 48300000183.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×381000003842 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 352089 + ... + 447399.

It is an arithmetic number, because the mean of its divisors is an integer number (1145352390).

Almost surely, 238100000384 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 38100000384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54976914720).

38100000384 is an abundant number, since it is smaller than the sum of its proper divisors (71853829056).

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

38100000384 is a wasteful number, since it uses less digits than its factorization.

38100000384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95678 (or 95663 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 38100000384 in words is "thirty-eight billion, one hundred million, three hundred eighty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 347 384 576 694 1041 1152 1388 2082 2776 3123 4164 5552 6246 8328 11104 12492 16656 22208 24984 33312 44416 49968 66624 95311 99936 133248 190622 199872 285933 381244 399744 571866 762488 857799 1143732 1524976 1715598 2287464 3049952 3431196 4574928 6099904 6862392 9149856 12199808 13724784 18299712 27449568 33072917 36599424 54899136 66145834 99218751 109798272 132291668 198437502 264583336 297656253 396875004 529166672 595312506 793750008 1058333344 1190625012 1587500016 2116666688 2381250024 3175000032 4233333376 4762500048 6350000064 9525000096 12700000128 19050000192 38100000384