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38969228000 = 255319226987
BaseRepresentation
bin100100010010101111…
…110011101011100000
310201120211110220010202
4210102233303223200
51114302110244000
625522513444332
72546456654423
oct442257635340
9121524426122
1038969228000
111558812785a
1276768706a8
1338a065cbc1
141c5972d9ba
151031277dd5
hex912bf3ae0

38969228000 has 144 divisors (see below), whose sum is σ = 101055702384. Its totient is φ = 14766739200.

The previous prime is 38969227991. The next prime is 38969228021. The reversal of 38969228000 is 82296983.

38969228000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1430507 + ... + 1457493.

It is an arithmetic number, because the mean of its divisors is an integer number (701775711).

Almost surely, 238969228000 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 38969228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50527851192).

38969228000 is an abundant number, since it is smaller than the sum of its proper divisors (62086474384).

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

38969228000 is a wasteful number, since it uses less digits than its factorization.

38969228000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27050 (or 27013 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 47.

The spelling of 38969228000 in words is "thirty-eight billion, nine hundred sixty-nine million, two hundred twenty-eight thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 304 361 380 400 475 500 608 722 760 800 950 1000 1444 1520 1805 1900 2000 2375 2888 3040 3610 3800 4000 4750 5776 7220 7600 9025 9500 11552 14440 15200 18050 19000 26987 28880 36100 38000 45125 53974 57760 72200 76000 90250 107948 134935 144400 180500 215896 269870 288800 361000 431792 512753 539740 674675 722000 863584 1025506 1079480 1349350 1444000 2051012 2158960 2563765 2698700 3373375 4102024 4317920 5127530 5397400 6746750 8204048 9742307 10255060 10794800 12818825 13493500 16408096 19484614 20510120 21589600 25637650 26987000 38969228 41020240 48711535 51275300 53974000 64094125 77938456 82040480 97423070 102550600 107948000 128188250 155876912 194846140 205101200 243557675 256376500 311753824 389692280 410202400 487115350 512753000 779384560 974230700 1025506000 1217788375 1558769120 1948461400 2051012000 2435576750 3896922800 4871153500 7793845600 9742307000 19484614000 38969228000