Search a number
-
+
38307640000 = 26547136813
BaseRepresentation
bin100011101011010100…
…000011001011000000
310122212201120202000111
4203223110003023000
51111423223440000
625333121401104
72524204365430
oct435324031300
9118781522014
1038307640000
1115278733a13
127511199194
1337c657c606
141bd59142c0
15ee3141cba
hex8eb5032c0

38307640000 has 140 divisors (see below), whose sum is σ = 108561361744. Its totient is φ = 13133952000.

The previous prime is 38307639991. The next prime is 38307640031. The reversal of 38307640000 is 4670383.

It is a tau number, because it is divible by the number of its divisors (140).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 211594 + ... + 348406.

Almost surely, 238307640000 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 38307640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54280680872).

38307640000 is an abundant number, since it is smaller than the sum of its proper divisors (70253721744).

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

38307640000 is an equidigital number, since it uses as much as digits as its factorization.

38307640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136852 (or 136827 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The spelling of 38307640000 in words is "thirty-eight billion, three hundred seven million, six hundred forty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 625 700 800 875 1000 1120 1250 1400 1600 1750 2000 2240 2500 2800 3500 4000 4375 5000 5600 7000 8000 8750 10000 11200 14000 17500 20000 28000 35000 40000 56000 70000 136813 140000 273626 280000 547252 684065 957691 1094504 1368130 1915382 2189008 2736260 3420325 3830764 4378016 4788455 5472520 6840650 7661528 8756032 9576910 10945040 13681300 15323056 17101625 19153820 21890080 23942275 27362600 30646112 34203250 38307640 43780160 47884550 54725200 61292224 68406500 76615280 85508125 95769100 109450400 119711375 136813000 153230560 171016250 191538200 218900800 239422750 273626000 306461120 342032500 383076400 478845500 547252000 598556875 684065000 766152800 957691000 1094504000 1197113750 1368130000 1532305600 1915382000 2394227500 2736260000 3830764000 4788455000 5472520000 7661528000 9576910000 19153820000 38307640000