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1378352500 = 2254779997
BaseRepresentation
bin101001000100111…
…1111110101110100
310120001121120011121
41102021333311310
510310324240000
6344434513324
746104542260
oct12211776564
93501546147
101378352500
116480536a8
12325735844
1318c73c4c5
14d10b90a0
158101ab1a
hex5227fd74

1378352500 has 120 divisors (see below), whose sum is σ = 3491882240. Its totient is φ = 466128000.

The previous prime is 1378352491. The next prime is 1378352509. The reversal of 1378352500 is 52538731.

It is an interprime number because it is at equal distance from previous prime (1378352491) and next prime (1378352509).

It is a super-2 number, since 2×13783525002 = 3799711228512500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1378352509) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1382002 + ... + 1382998.

Almost surely, 21378352500 is an apocalyptic number.

1378352500 is a gapful number since it is divisible by the number (10) 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 1378352500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745941120).

1378352500 is an abundant number, since it is smaller than the sum of its proper divisors (2113529740).

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

1378352500 is an equidigital number, since it uses as much as digits as its factorization.

1378352500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 1378352500 is about 37126.1700152332. The cubic root of 1378352500 is about 1112.8930564168.

The spelling of 1378352500 in words is "one billion, three hundred seventy-eight million, three hundred fifty-two thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 79 100 125 140 158 175 250 316 350 395 500 553 625 700 790 875 997 1106 1250 1580 1750 1975 1994 2212 2500 2765 3500 3950 3988 4375 4985 5530 6979 7900 8750 9875 9970 11060 13825 13958 17500 19750 19940 24925 27650 27916 34895 39500 49375 49850 55300 69125 69790 78763 98750 99700 124625 138250 139580 157526 174475 197500 249250 276500 315052 345625 348950 393815 498500 551341 623125 691250 697900 787630 872375 1102682 1246250 1382500 1575260 1744750 1969075 2205364 2492500 2756705 3489500 3938150 4361875 5513410 7876300 8723750 9845375 11026820 13783525 17447500 19690750 27567050 39381500 49226875 55134100 68917625 98453750 137835250 196907500 275670500 344588125 689176250 1378352500