Search a number
-
+
11264654640 = 2435192470319
BaseRepresentation
bin10100111110110110…
…01111110100110000
31002002001102202011010
422133123033310300
5141032222422030
65101440350520
7546101661501
oct123733176460
932061382133
1011264654640
114860670838
122224615440
1310a69cb425
1478c0c2ba8
1545de1a6b0
hex29f6cfd30

11264654640 has 80 divisors (see below), whose sum is σ = 36758361600. Its totient is φ = 2845806336.

The previous prime is 11264654633. The next prime is 11264654671. The reversal of 11264654640 is 4645646211.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1230600 + ... + 1239719.

It is an arithmetic number, because the mean of its divisors is an integer number (459479520).

Almost surely, 211264654640 is an apocalyptic number.

11264654640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11264654640 is an abundant number, since it is smaller than the sum of its proper divisors (25493706960).

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

11264654640 is a wasteful number, since it uses less digits than its factorization.

11264654640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2470354 (or 2470348 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 11264654640 in words is "eleven billion, two hundred sixty-four million, six hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 2470319 4940638 7410957 9881276 12351595 14821914 19762552 24703190 29643828 37054785 39525104 46936061 49406380 59287656 74109570 93872122 98812760 118575312 140808183 148219140 187744244 197625520 234680305 281616366 296438280 375488488 469360610 563232732 592876560 704040915 750976976 938721220 1126465464 1408081830 1877442440 2252930928 2816163660 3754884880 5632327320 11264654640