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151151000049 = 347172922423
BaseRepresentation
bin1000110011000101001…
…1010011100111110001
3112110010222021101010000
42030301103103213301
54434024124000144
6153234322300213
713630443205350
oct2146123234761
9473128241100
10151151000049
1159114887565
12253641b7669
131133ab7878a
14745c5a7997
153de9b8b769
hex23314d39f1

151151000049 has 60 divisors (see below), whose sum is σ = 274122274624. Its totient is φ = 81291206016.

The previous prime is 151151000023. The next prime is 151151000051. The reversal of 151151000049 is 940000151151.

151151000049 is a `hidden beast` number, since 1 + 511 + 5 + 100 + 0 + 0 + 49 = 666.

151151000049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 151151000049 - 25 = 151151000017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 151150999986 and 151151000031.

It is not an unprimeable number, because it can be changed into a prime (151151000089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 297349 + ... + 625074.

Almost surely, 2151151000049 is an apocalyptic number.

It is an amenable number.

151151000049 is a deficient number, since it is larger than the sum of its proper divisors (122971274575).

151151000049 is an equidigital number, since it uses as much as digits as its factorization.

151151000049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922476 (or 922450 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 151151000049 in words is "one hundred fifty-one billion, one hundred fifty-one million, forty-nine", and thus it is an aban number.

Divisors: 1 3 7 9 17 21 27 51 63 81 119 153 189 289 357 459 567 867 1071 1377 2023 2601 3213 6069 7803 9639 18207 23409 54621 163863 922423 2767269 6456961 8301807 15681191 19370883 24905421 47043573 58112649 74716263 109768337 141130719 174337947 266580247 329305011 423392157 523013841 799740741 987915033 1270176471 1866061729 2399222223 2963745099 5598185187 7197666669 8891235297 16794555561 21593000007 50383666683 151151000049