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38146212252 = 2234127927049
BaseRepresentation
bin100011100001101100…
…010000000110011100
310122110110211100210000
4203201230100012130
51111110412243002
625305113414300
72520204311541
oct434154200634
9118413740700
1038146212252
11151a55a6955
12748710a390
13379bcac035
141bbc2d2bc8
15ed3da661c
hex8e1b1019c

38146212252 has 60 divisors (see below), whose sum is σ = 100507052800. Its totient is φ = 12615269184.

The previous prime is 38146212157. The next prime is 38146212253. The reversal of 38146212252 is 25221264183.

38146212252 is a `hidden beast` number, since 3 + 8 + 1 + 4 + 621 + 2 + 25 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38146212253) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 422377 + ... + 504672.

Almost surely, 238146212252 is an apocalyptic number.

It is an amenable number.

38146212252 is an abundant number, since it is smaller than the sum of its proper divisors (62360840548).

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

38146212252 is a wasteful number, since it uses less digits than its factorization.

38146212252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927192 (or 927181 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The spelling of 38146212252 in words is "thirty-eight billion, one hundred forty-six million, two hundred twelve thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 127 162 254 324 381 508 762 1143 1524 2286 3429 4572 6858 10287 13716 20574 41148 927049 1854098 2781147 3708196 5562294 8343441 11124588 16686882 25030323 33373764 50060646 75090969 100121292 117735223 150181938 235470446 300363876 353205669 470940892 706411338 1059617007 1412822676 2119234014 3178851021 4238468028 6357702042 9536553063 12715404084 19073106126 38146212252