Search a number
-
+
248349353856 = 2731934039111
BaseRepresentation
bin1110011101001011000…
…1100110011110000000
3212202000220010100021220
43213102301212132000
513032104413310411
6310031244315040
723641220451222
oct3472261463600
9782026110256
10248349353856
119636281038a
124016b842a80
131a55b1028b6
14c03d4d6412
1566d7e63b06
hex39d2c66780

248349353856 has 64 divisors (see below), whose sum is σ = 694397884800. Its totient is φ = 78426109440.

The previous prime is 248349353843. The next prime is 248349353873. The reversal of 248349353856 is 658353943842.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 248349353856.

It is a congruent number.

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, 17012260 + ... + 17026851.

It is an arithmetic number, because the mean of its divisors is an integer number (10849966950).

Almost surely, 2248349353856 is an apocalyptic number.

It is an amenable number.

248349353856 is an abundant number, since it is smaller than the sum of its proper divisors (446048530944).

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

248349353856 is a wasteful number, since it uses less digits than its factorization.

248349353856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34039147 (or 34039135 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 60.

The spelling of 248349353856 in words is "two hundred forty-eight billion, three hundred forty-nine million, three hundred fifty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 34039111 68078222 102117333 136156444 204234666 272312888 408469332 544625776 646743109 816938664 1089251552 1293486218 1633877328 1940229327 2178503104 2586972436 3267754656 3880458654 4357006208 5173944872 6535509312 7760917308 10347889744 13071018624 15521834616 20695779488 31043669232 41391558976 62087338464 82783117952 124174676928 248349353856