Search a number
-
+
151799277168 = 243272111955773
BaseRepresentation
bin1000110101011111110…
…0010010011001110000
3112111211011010021010200
42031113330102121300
54441341103332133
6153422521155200
713652504365200
oct2152774223160
9474734107120
10151799277168
1159417809780
122550532bb00
13114122784c6
1474c071a400
153e36a43913
hex2357f12670

151799277168 has 180 divisors, whose sum is σ = 539113014648. Its totient is φ = 39428363520.

The previous prime is 151799277127. The next prime is 151799277181. The reversal of 151799277168 is 861772997151.

151799277168 is a `hidden beast` number, since 1 + 517 + 99 + 27 + 7 + 1 + 6 + 8 = 666.

151799277168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1517992771682 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 900271 + ... + 1055502.

Almost surely, 2151799277168 is an apocalyptic number.

151799277168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

151799277168 is an abundant number, since it is smaller than the sum of its proper divisors (387313737480).

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

151799277168 is a wasteful number, since it uses less digits than its factorization.

151799277168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955812 (or 1955796 counting only the distinct ones).

The product of its digits is 13335840, while the sum is 63.

The spelling of 151799277168 in words is "one hundred fifty-one billion, seven hundred ninety-nine million, two hundred seventy-seven thousand, one hundred sixty-eight".