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1133968488 = 2331941131463
BaseRepresentation
bin100001110010110…
…1111110001101000
32221000202120022220
41003211233301220
54310243442423
6304304514040
740046400402
oct10345576150
92830676286
101133968488
11532106344
1227791b920
13150c15093
14aa861b72
15698459e3
hex4396fc68

1133968488 has 128 divisors (see below), whose sum is σ = 3086899200. Its totient is φ = 345945600.

The previous prime is 1133968487. The next prime is 1133968541. The reversal of 1133968488 is 8848693311.

1133968488 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11339684882 = 2571769063554012288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1133968488.

It is not an unprimeable number, because it can be changed into a prime (1133968481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2448945 + ... + 2449407.

It is an arithmetic number, because the mean of its divisors is an integer number (24116400).

Almost surely, 21133968488 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 1133968488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543449600).

1133968488 is an abundant number, since it is smaller than the sum of its proper divisors (1952930712).

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

1133968488 is a wasteful number, since it uses less digits than its factorization.

1133968488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 659 counting only the distinct ones).

The product of its digits is 995328, while the sum is 51.

The square root of 1133968488 is about 33674.4485923675. The cubic root of 1133968488 is about 1042.7983340686.

The spelling of 1133968488 in words is "one billion, one hundred thirty-three million, nine hundred sixty-eight thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 41 57 76 82 114 123 131 152 164 228 246 262 328 393 456 463 492 524 779 786 926 984 1048 1389 1558 1572 1852 2337 2489 2778 3116 3144 3704 4674 4978 5371 5556 6232 7467 8797 9348 9956 10742 11112 14934 16113 17594 18696 18983 19912 21484 26391 29868 32226 35188 37966 42968 52782 56949 59736 60653 64452 70376 75932 102049 105564 113898 121306 128904 151864 181959 204098 211128 227796 242612 306147 360677 363918 408196 455592 485224 612294 721354 727836 816392 1082031 1152407 1224588 1442708 1455672 2164062 2304814 2449176 2486773 2885416 3457221 4328124 4609628 4973546 6914442 7460319 8656248 9219256 9947092 13828884 14920638 19894184 27657768 29841276 47248687 59682552 94497374 141746061 188994748 283492122 377989496 566984244 1133968488