Search a number
-
+
150764423040 = 27335721116187
BaseRepresentation
bin1000110001101001000…
…0101000011110000000
3112102011000212020011000
42030122100220132000
54432231143014130
6153132112452000
713615040310600
oct2143220503600
9472130766130
10150764423040
1158a3664a530
122527684a000
13112a8a56a9a
1474230d8c00
153dc5c7a260
hex231a428780

150764423040 has 768 divisors, whose sum is σ = 677642630400. Its totient is φ = 31325736960.

The previous prime is 150764423021. The next prime is 150764423053. The reversal of 150764423040 is 40324467051.

150764423040 is a `hidden beast` number, since 1 + 5 + 0 + 7 + 644 + 2 + 3 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×1507644230402 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 150764422986 and 150764423004.

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 95 ways as a sum of consecutive naturals, for example, 9305827 + ... + 9322013.

It is an arithmetic number, because the mean of its divisors is an integer number (882347175).

Almost surely, 2150764423040 is an apocalyptic number.

150764423040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150764423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338821315200).

150764423040 is an abundant number, since it is smaller than the sum of its proper divisors (526878207360).

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

150764423040 is a wasteful number, since it uses less digits than its factorization.

150764423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16240 (or 16215 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 150764423040 in words is "one hundred fifty billion, seven hundred sixty-four million, four hundred twenty-three thousand, forty".