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38251336725 = 345272385501
BaseRepresentation
bin100011100111111101…
…010001010000010101
310122201210122020110000
4203213331101100111
51111314320233400
625323350521513
72522621666100
oct434775212025
9118653566400
1038251336725
1115249978488
1274b6366299
1337b79c8174
141bcc259737
15edd21e600
hex8e7f51415

38251336725 has 90 divisors (see below), whose sum is σ = 82423026114. Its totient is φ = 17486280000.

The previous prime is 38251336637. The next prime is 38251336729. The reversal of 38251336725 is 52763315283.

38251336725 is a `hidden beast` number, since 3 + 82 + 513 + 36 + 7 + 25 = 666.

38251336725 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 941323761 + 37310012964 = 30681^2 + 193158^2 .

It is not a de Polignac number, because 38251336725 - 210 = 38251335701 is a prime.

It is a super-2 number, since 2×382513367252 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38251336729) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 93526 + ... + 291975.

Almost surely, 238251336725 is an apocalyptic number.

38251336725 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38251336725 is an abundant number, since it is smaller than the sum of its proper divisors (44171689389).

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

38251336725 is a wasteful number, since it uses less digits than its factorization.

38251336725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385537 (or 385516 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 38251336725 in words is "thirty-eight billion, two hundred fifty-one million, three hundred thirty-six thousand, seven hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 81 105 135 147 175 189 225 245 315 405 441 525 567 675 735 945 1225 1323 1575 2025 2205 2835 3675 3969 4725 6615 11025 14175 19845 33075 99225 385501 1156503 1927505 2698507 3469509 5782515 8095521 9637525 10408527 13492535 17347545 18889549 24286563 28912575 31225581 40477605 52042635 56668647 67462675 72859689 86737725 94447745 121432815 156127905 170005941 202388025 218579067 260213175 283343235 364298445 472238725 510017823 607164075 780639525 850029705 1092895335 1416716175 1530053469 1821492225 2550089115 4250148525 5464476675 7650267345 12750445575 38251336725