Search a number
-
+
151322807016 = 23331936872029
BaseRepresentation
bin1000110011101110001…
…0101100101011101000
3112110120221120001222000
42030323202230223220
54434402114311031
6153303340531000
713634630431323
oct2147342545350
9473527501860
10151322807016
11591a2863697
12253b1850a60
13113676413c4
14747732b7ba
153e09cc73e6
hex233b8acae8

151322807016 has 64 divisors (see below), whose sum is σ = 442464360000. Its totient is φ = 47786148288.

The previous prime is 151322806937. The next prime is 151322807033. The reversal of 151322807016 is 610708223151.

151322807016 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

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 15 ways as a sum of consecutive naturals, for example, 18431911 + ... + 18440118.

It is an arithmetic number, because the mean of its divisors is an integer number (6913505625).

Almost surely, 2151322807016 is an apocalyptic number.

It is an amenable number.

151322807016 is an abundant number, since it is smaller than the sum of its proper divisors (291141552984).

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

151322807016 is a wasteful number, since it uses less digits than its factorization.

151322807016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36872063 (or 36872053 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 151322807016 in words is "one hundred fifty-one billion, three hundred twenty-two million, eight hundred seven thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 36872029 73744058 110616087 147488116 221232174 294976232 331848261 442464348 663696522 700568551 884928696 995544783 1327393044 1401137102 1991089566 2101705653 2654786088 2802274204 3982179132 4203411306 5604548408 6305116959 7964358264 8406822612 12610233918 16813645224 18915350877 25220467836 37830701754 50440935672 75661403508 151322807016