Search a number
-
+
1393389255348 = 22321797139168863
BaseRepresentation
bin10100010001101100011…
…110001011101010110100
311221012120200201011122100
4110101230132023222310
5140312130122132343
62544040355302100
7202445325152016
oct24215436135264
94835520634570
101393389255348
11497a299aaa62
121a606b2aa930
13a151c14ca4c
144b6246581b6
15263a2ad59d3
hex1446c78bab4

1393389255348 has 144 divisors (see below), whose sum is σ = 3794941463040. Its totient is φ = 429520084992.

The previous prime is 1393389255337. The next prime is 1393389255367. The reversal of 1393389255348 is 8435529833931.

It is a happy number.

1393389255348 is a `hidden beast` number, since 1 + 3 + 9 + 3 + 3 + 8 + 92 + 5 + 534 + 8 = 666.

It is a super-2 number, since 2×13933892553482 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8167165 + ... + 8336027.

It is an arithmetic number, because the mean of its divisors is an integer number (26353760160).

Almost surely, 21393389255348 is an apocalyptic number.

1393389255348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1393389255348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897470731520).

1393389255348 is an abundant number, since it is smaller than the sum of its proper divisors (2401552207692).

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

1393389255348 is a wasteful number, since it uses less digits than its factorization.

1393389255348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169126 (or 169121 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 63.

The spelling of 1393389255348 in words is "one trillion, three hundred ninety-three billion, three hundred eighty-nine million, two hundred fifty-five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 97 102 139 153 194 204 278 291 306 388 417 556 582 612 834 873 1164 1251 1649 1668 1746 2363 2502 3298 3492 4726 4947 5004 6596 7089 9452 9894 13483 14178 14841 19788 21267 26966 28356 29682 40449 42534 53932 59364 80898 85068 121347 161796 168863 229211 242694 337726 458422 485388 506589 675452 687633 916844 1013178 1375266 1519767 2026356 2062899 2750532 2870671 3039534 4125798 5741342 6079068 8251596 8612013 11482684 16379711 17224026 23471957 25836039 32759422 34448052 46943914 49139133 51672078 65518844 70415871 93887828 98278266 103344156 140831742 147417399 196556532 211247613 278455087 281663484 294834798 399023269 422495226 556910174 589669596 798046538 835365261 844990452 1113820348 1197069807 1596093076 1670730522 2276779829 2394139614 2506095783 3341461044 3591209421 4553559658 4788279228 5012191566 6830339487 7182418842 9107119316 10024383132 13660678974 14364837684 20491018461 27321357948 38705257093 40982036922 77410514186 81964073844 116115771279 154821028372 232231542558 348347313837 464463085116 696694627674 1393389255348