Search a number
-
+
248268718501040 = 2457274268719369
BaseRepresentation
bin111000011100110010010000…
…110001100110110010110000
31012120001020221212012201000202
4320130302100301212302300
5230020113313414013130
62240005024051534332
7103202552200100636
oct7034622061466260
91176036855181022
10248268718501040
1172119199272776
1223a181835ba3a8
13a86b8415563a3
1445443ad1ad356
151da808c01d145
hexe1cc90c66cb0

248268718501040 has 40 divisors (see below), whose sum is σ = 578018752452960. Its totient is φ = 99170888357376.

The previous prime is 248268718501021. The next prime is 248268718501057. The reversal of 248268718501040 is 40105817862842.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2482687185010402 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2134301525 + ... + 2134417844.

It is an arithmetic number, because the mean of its divisors is an integer number (14450468811324).

Almost surely, 2248268718501040 is an apocalyptic number.

248268718501040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248268718501040 is an abundant number, since it is smaller than the sum of its proper divisors (329750033951920).

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

248268718501040 is a wasteful number, since it uses less digits than its factorization.

248268718501040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4268720109 (or 4268720103 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 56.

The spelling of 248268718501040 in words is "two hundred forty-eight trillion, two hundred sixty-eight billion, seven hundred eighteen million, five hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 727 1454 2908 3635 5816 7270 11632 14540 29080 58160 4268719369 8537438738 17074877476 21343596845 34149754952 42687193690 68299509904 85374387380 170748774760 341497549520 3103358981263 6206717962526 12413435925052 15516794906315 24826871850104 31033589812630 49653743700208 62067179625260 124134359250520 248268718501040