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38113407900 = 2235521568453
BaseRepresentation
bin100011011111101111…
…000111001110011100
310122101012002201200000
4203133233013032130
51111024013023100
625301542334300
72516325423201
oct433757071634
9118335081600
1038113407900
1115189030517
12747812a390
133795264789
141bb7bd3ca8
15ed1076900
hex8dfbc739c

38113407900 has 108 divisors (see below), whose sum is σ = 123889044552. Its totient is φ = 10163568960.

The previous prime is 38113407887. The next prime is 38113407911. The reversal of 38113407900 is 970431183.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 759927 + ... + 808526.

Almost surely, 238113407900 is an apocalyptic number.

38113407900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38113407900 is an abundant number, since it is smaller than the sum of its proper divisors (85775636652).

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

38113407900 is a wasteful number, since it uses less digits than its factorization.

38113407900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568482 (or 1568463 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 38113407900 in words is "thirty-eight billion, one hundred thirteen million, four hundred seven thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 243 270 300 324 405 450 486 540 675 810 900 972 1215 1350 1620 2025 2430 2700 4050 4860 6075 8100 12150 24300 1568453 3136906 4705359 6273812 7842265 9410718 14116077 15684530 18821436 23526795 28232154 31369060 39211325 42348231 47053590 56464308 70580385 78422650 84696462 94107180 117633975 127044693 141160770 156845300 169392924 211741155 235267950 254089386 282321540 352901925 381134079 423482310 470535900 508178772 635223465 705803850 762268158 846964620 1058705775 1270446930 1411607700 1524536316 1905670395 2117411550 2540893860 3176117325 3811340790 4234823100 6352234650 7622681580 9528351975 12704469300 19056703950 38113407900