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1298117664 = 25351391201
BaseRepresentation
bin100110101011111…
…1011010000100000
310100110122012200000
41031113323100200
510124304231124
6332451100000
744111550414
oct11527732040
93313565600
101298117664
11606832018
123028a1600
13178c2927c
14c4590d44
1578e6c6c9
hex4d5fb420

1298117664 has 144 divisors (see below), whose sum is σ = 3858996960. Its totient is φ = 429235200.

The previous prime is 1298117663. The next prime is 1298117693. The reversal of 1298117664 is 4667118921.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1298117663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1080264 + ... + 1081464.

It is an arithmetic number, because the mean of its divisors is an integer number (26798590).

Almost surely, 21298117664 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 1298117664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929498480).

1298117664 is an abundant number, since it is smaller than the sum of its proper divisors (2560879296).

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

1298117664 is a wasteful number, since it uses less digits than its factorization.

1298117664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1345 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 1298117664 is about 36029.3999950041. The cubic root of 1298117664 is about 1090.8658675602.

The spelling of 1298117664 in words is "one billion, two hundred ninety-eight million, one hundred seventeen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 139 144 162 216 243 278 288 324 417 432 486 556 648 834 864 972 1112 1201 1251 1296 1668 1944 2224 2402 2502 2592 3336 3603 3753 3888 4448 4804 5004 6672 7206 7506 7776 9608 10008 10809 11259 13344 14412 15012 19216 20016 21618 22518 28824 30024 32427 33777 38432 40032 43236 45036 57648 60048 64854 67554 86472 90072 97281 115296 120096 129708 135108 166939 172944 180144 194562 259416 270216 291843 333878 345888 360288 389124 500817 518832 540432 583686 667756 778248 1001634 1037664 1080864 1167372 1335512 1502451 1556496 2003268 2334744 2671024 3004902 3112992 4006536 4507353 4669488 5342048 6009804 8013072 9014706 9338976 12019608 13522059 16026144 18029412 24039216 27044118 36058824 40566177 48078432 54088236 72117648 81132354 108176472 144235296 162264708 216352944 324529416 432705888 649058832 1298117664