Search a number
-
+
150496515456 = 273755988287
BaseRepresentation
bin1000110000101001001…
…0101001010110000000
3112101110100202010000220
42030022102221112000
54431204101443311
6153045342343040
713605305163120
oct2141222512600
9471410663026
10150496515456
11589093a5601
1225200b8aa80
13112653b44a1
1473d96bac80
153dac4aa206
hex230a4a9580

150496515456 has 64 divisors (see below), whose sum is σ = 456864430080. Its totient is φ = 42999003648.

The previous prime is 150496515439. The next prime is 150496515469. The reversal of 150496515456 is 654515694051.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 150496515399 and 150496515408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27991456 + ... + 27996831.

It is an arithmetic number, because the mean of its divisors is an integer number (7138506720).

Almost surely, 2150496515456 is an apocalyptic number.

150496515456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

150496515456 is an abundant number, since it is smaller than the sum of its proper divisors (306367914624).

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

150496515456 is an equidigital number, since it uses as much as digits as its factorization.

150496515456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55988311 (or 55988299 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 51.

The spelling of 150496515456 in words is "one hundred fifty billion, four hundred ninety-six million, five hundred fifteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 55988287 111976574 167964861 223953148 335929722 391918009 447906296 671859444 783836018 895812592 1175754027 1343718888 1567672036 1791625184 2351508054 2687437776 3135344072 3583250368 4703016108 5374875552 6270688144 7166500736 9406032216 10749751104 12541376288 18812064432 21499502208 25082752576 37624128864 50165505152 75248257728 150496515456