Search a number
-
+
168400150381 = 4143474094969
BaseRepresentation
bin1001110011010101101…
…1100101111101101101
3121002200002121000000201
42130311123211331231
510224340414303011
6205210103353501
715111053442361
oct2346533457555
9532602530021
10168400150381
1165466549501
1228778a52891
1312b596748c8
1482173c12a1
1545a917acc1
hex27356e5f6d

168400150381 has 32 divisors (see below), whose sum is σ = 180752140800. Its totient is φ = 156642232320.

The previous prime is 168400150343. The next prime is 168400150397. The reversal of 168400150381 is 183051004861.

It is a cyclic number.

It is not a de Polignac number, because 168400150381 - 27 = 168400150253 is a prime.

It is a super-3 number, since 3×1684001503813 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 168400150381.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168400157381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33887665 + ... + 33892633.

It is an arithmetic number, because the mean of its divisors is an integer number (5648504400).

Almost surely, 2168400150381 is an apocalyptic number.

It is an amenable number.

168400150381 is a deficient number, since it is larger than the sum of its proper divisors (12351990419).

168400150381 is a wasteful number, since it uses less digits than its factorization.

168400150381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5509.

The product of its (nonzero) digits is 23040, while the sum is 37.

The spelling of 168400150381 in words is "one hundred sixty-eight billion, four hundred million, one hundred fifty thousand, three hundred eighty-one".

Divisors: 1 41 43 47 409 1763 1927 2021 4969 16769 17587 19223 82861 203729 213667 233543 721067 788143 826589 2032321 8760347 9575263 10042349 33890149 83325161 87389803 95519087 411736309 3582981923 3916282567 4107320741 168400150381