Search a number
-
+
150110001648 = 24328911712703
BaseRepresentation
bin1000101111001101000…
…0001101100111110000
3112100110102110011202200
42023303100031213300
54424411130023043
6152543134143200
713562602650525
oct2136320154760
9470412404680
10150110001648
1158730201002
1225113651b00
13112032b54a9
1473a022714c
153d885ac7d3
hex22f340d9f0

150110001648 has 60 divisors (see below), whose sum is σ = 424819774080. Its totient is φ = 49474453248.

The previous prime is 150110001641. The next prime is 150110001667. The reversal of 150110001648 is 846100011051.

150110001648 is a `hidden beast` number, since 1 + 5 + 0 + 1 + 10 + 0 + 0 + 1 + 648 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150110001641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5843536 + ... + 5869167.

It is an arithmetic number, because the mean of its divisors is an integer number (7080329568).

Almost surely, 2150110001648 is an apocalyptic number.

150110001648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

150110001648 is an abundant number, since it is smaller than the sum of its proper divisors (274709772432).

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

150110001648 is a wasteful number, since it uses less digits than its factorization.

150110001648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11712806 (or 11712797 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 150110001648 its reverse (846100011051), we get a palindrome (996210012699).

The spelling of 150110001648 in words is "one hundred fifty billion, one hundred ten million, one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 178 267 356 534 712 801 1068 1424 1602 2136 3204 4272 6408 12816 11712703 23425406 35138109 46850812 70276218 93701624 105414327 140552436 187403248 210828654 281104872 421657308 562209744 843314616 1042430567 1686629232 2084861134 3127291701 4169722268 6254583402 8339444536 9381875103 12509166804 16678889072 18763750206 25018333608 37527500412 50036667216 75055000824 150110001648