Search a number
-
+
1150901664 = 25311299079
BaseRepresentation
bin100010010011001…
…0101110110100000
32222012121212021120
41010212111312200
54324112323124
6310111452240
740343334303
oct10446256640
92865555246
101150901664
11540721500
12281527080
13154593603
14acbccb3a
156b08cd79
hex44995da0

1150901664 has 72 divisors (see below), whose sum is σ = 3320765280. Its totient is φ = 348754560.

The previous prime is 1150901663. The next prime is 1150901671. The reversal of 1150901664 is 4661090511.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1150901663) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 37924 + ... + 61155.

It is an arithmetic number, because the mean of its divisors is an integer number (46121740).

Almost surely, 21150901664 is an apocalyptic number.

It is an amenable number.

1150901664 is an abundant number, since it is smaller than the sum of its proper divisors (2169863616).

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

1150901664 is a wasteful number, since it uses less digits than its factorization.

1150901664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99114 (or 99095 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 1150901664 is about 33924.9416211731. The cubic root of 1150901664 is about 1047.9632972792.

The spelling of 1150901664 in words is "one billion, one hundred fifty million, nine hundred one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2904 3872 5808 11616 99079 198158 297237 396316 594474 792632 1089869 1188948 1585264 2179738 2377896 3170528 3269607 4359476 4755792 6539214 8718952 9511584 11988559 13078428 17437904 23977118 26156856 34875808 35965677 47954236 52313712 71931354 95908472 104627424 143862708 191816944 287725416 383633888 575450832 1150901664