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1151315968 = 21211223101
BaseRepresentation
bin100010010011111…
…1011000000000000
32222020101220121011
41010213323000000
54324214102333
6310124410304
740350011215
oct10447730000
92866356534
101151315968
11540984800
122816a6994
131546aa06a
14acc99b0c
156b1209cd
hex449fb000

1151315968 has 156 divisors (see below), whose sum is σ = 2666858544. Its totient is φ = 495616000.

The previous prime is 1151315941. The next prime is 1151315969. The reversal of 1151315968 is 8695131511.

It is a self number, because there is not a number n which added to its sum of digits gives 1151315968.

It is not an unprimeable number, because it can be changed into a prime (1151315969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11399118 + ... + 11399218.

Almost surely, 21151315968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1151315968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333429272).

1151315968 is an abundant number, since it is smaller than the sum of its proper divisors (1515542576).

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

1151315968 is a wasteful number, since it uses less digits than its factorization.

1151315968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 137 counting only the distinct ones).

The product of its digits is 32400, while the sum is 40.

The square root of 1151315968 is about 33931.0472576371. The cubic root of 1151315968 is about 1048.0890315365.

The spelling of 1151315968 in words is "one billion, one hundred fifty-one million, three hundred fifteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 101 121 128 176 184 202 242 253 256 352 368 404 484 506 512 704 736 808 968 1012 1024 1111 1408 1472 1616 1936 2024 2048 2222 2323 2783 2816 2944 3232 3872 4048 4096 4444 4646 5566 5632 5888 6464 7744 8096 8888 9292 11132 11264 11776 12221 12928 15488 16192 17776 18584 22264 22528 23552 24442 25553 25856 30976 32384 35552 37168 44528 45056 47104 48884 51106 51712 61952 64768 71104 74336 89056 94208 97768 102212 103424 123904 129536 142208 148672 178112 195536 204424 206848 247808 259072 281083 284416 297344 356224 391072 408848 413696 495616 518144 562166 568832 594688 712448 782144 817696 1036288 1124332 1137664 1189376 1424896 1564288 1635392 2248664 2275328 2378752 2849792 3128576 3270784 4497328 4550656 4757504 5699584 6257152 6541568 8994656 9515008 11399168 12514304 13083136 17989312 25028608 26166272 35978624 50057216 52332544 71957248 104665088 143914496 287828992 575657984 1151315968