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38923344100 = 225210921812
BaseRepresentation
bin100100010000000000…
…110001100011100100
310201110122010202021001
4210100000301203210
51114203334002400
625514154203044
72545361652214
oct442000614344
9121418122231
1038923344100
1115564238583
127663423484
133893cb6174
141c535c8244
15102c212a6a
hex9100318e4

38923344100 has 81 divisors (see below), whose sum is σ = 85719234321. Its totient is φ = 15341270400.

The previous prime is 38923344077. The next prime is 38923344127. The reversal of 38923344100 is 144332983.

The square root of 38923344100 is 197290.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 37863711396 + 1059632704 = 194586^2 + 32552^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 38923344100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 215046010 + ... + 215046190.

Almost surely, 238923344100 is an apocalyptic number.

38923344100 is the 197290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38923344100

38923344100 is an abundant number, since it is smaller than the sum of its proper divisors (46795890221).

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

38923344100 is a wasteful number, since it uses less digits than its factorization.

38923344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 38923344100 in words is "thirty-eight billion, nine hundred twenty-three million, three hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 181 218 362 436 545 724 905 1090 1810 2180 2725 3620 4525 5450 9050 10900 11881 18100 19729 23762 32761 39458 47524 59405 65522 78916 98645 118810 131044 163805 197290 237620 297025 327610 394580 493225 594050 655220 819025 986450 1188100 1638050 1972900 2150461 3276100 3570949 4300922 7141898 8601844 10752305 14283796 17854745 21504610 35709490 43009220 53761525 71418980 89273725 107523050 178547450 215046100 357094900 389233441 778466882 1556933764 1946167205 3892334410 7784668820 9730836025 19461672050 38923344100