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1121350848 = 26331293643
BaseRepresentation
bin100001011010110…
…0111010011000000
32220011000112011220
41002311213103000
54244031211343
6303134235040
736534216312
oct10265472300
92804015156
101121350848
11525a78542
12273655a80
1314b417c17
14a8cd97b2
15686a2183
hex42d674c0

1121350848 has 112 divisors (see below), whose sum is σ = 3077846016. Its totient is φ = 359930880.

The previous prime is 1121350843. The next prime is 1121350903. The reversal of 1121350848 is 8480531211.

It is not an unprimeable number, because it can be changed into a prime (1121350843) 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 15 ways as a sum of consecutive naturals, for example, 1743615 + ... + 1744257.

It is an arithmetic number, because the mean of its divisors is an integer number (27480768).

Almost surely, 21121350848 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 1121350848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538923008).

1121350848 is an abundant number, since it is smaller than the sum of its proper divisors (1956495168).

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

1121350848 is a wasteful number, since it uses less digits than its factorization.

1121350848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 1121350848 is about 33486.5771317404. The cubic root of 1121350848 is about 1038.9161687129.

The spelling of 1121350848 in words is "one billion, one hundred twenty-one million, three hundred fifty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 293 372 496 586 643 744 879 992 1172 1286 1488 1758 1929 1984 2344 2572 2976 3516 3858 4688 5144 5952 7032 7716 9083 9376 10288 14064 15432 18166 18752 19933 20576 27249 28128 30864 36332 39866 41152 54498 56256 59799 61728 72664 79732 108996 119598 123456 145328 159464 188399 217992 239196 290656 318928 376798 435984 478392 565197 581312 637856 753596 871968 956784 1130394 1275712 1507192 1743936 1913568 2260788 3014384 3827136 4521576 5840369 6028768 9043152 11680738 12057536 17521107 18086304 23361476 35042214 36172608 46722952 70084428 93445904 140168856 186891808 280337712 373783616 560675424 1121350848