Search a number
-
+
1083353325496 = 2313293715976079
BaseRepresentation
bin11111100001111001110…
…00111101111110111000
310211120022202102002021121
433300330320331332320
5120222201422403441
62145404033315024
7141161335220551
oct17607470757670
93746282362247
101083353325496
113884a1789062
12155b64a05a74
137b210063910
143a6126bd328
151d2a931cdd1
hexfc3ce3dfb8

1083353325496 has 128 divisors (see below), whose sum is σ = 2325972096000. Its totient is φ = 469348411392.

The previous prime is 1083353325487. The next prime is 1083353325497. The reversal of 1083353325496 is 6945233533801.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083353325497) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178209385 + ... + 178215463.

It is an arithmetic number, because the mean of its divisors is an integer number (18171657000).

Almost surely, 21083353325496 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 1083353325496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162986048000).

1083353325496 is an abundant number, since it is smaller than the sum of its proper divisors (1242618770504).

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

1083353325496 is a wasteful number, since it uses less digits than its factorization.

1083353325496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7761 (or 7757 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 52.

The spelling of 1083353325496 in words is "one trillion, eighty-three billion, three hundred fifty-three million, three hundred twenty-five thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 26 29 37 52 58 74 104 116 148 232 296 377 481 754 962 1073 1508 1597 1924 2146 3016 3194 3848 4292 6079 6388 8584 12158 12776 13949 20761 24316 27898 41522 46313 48632 55796 59089 79027 83044 92626 111592 118178 158054 166088 176291 185252 224923 236356 316108 352582 370504 449846 472712 602069 632216 705164 768157 899692 1204138 1410328 1536314 1713581 1799384 2291783 2408276 2923999 3072628 3427162 4583566 4816552 5847998 6145256 6522767 6854324 9167132 9708163 11695996 13045534 13708648 18334264 19416326 22276553 23391992 26091068 38832652 44553106 52182136 77665304 84795971 89106212 126206119 169591942 178212424 252412238 281536727 339183884 359202031 504824476 563073454 678367768 718404062 1009648952 1126146908 1436808124 2252293816 2873616248 3659977451 4669626403 7319954902 9339252806 10416858899 14639909804 18678505612 20833717798 29279819608 37357011224 41667435596 83334871192 135419165687 270838331374 541676662748 1083353325496