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5345350800 = 2435217262027
BaseRepresentation
bin1001111101001101…
…11001010010010000
3111210112012221210120
410332212321102100
541421402211200
62242225230240
7246314506056
oct47646712220
914715187716
105345350800
1122a3347199
121052192380
1367257788a
14389cbc1d6
152144229a0
hex13e9b9490

5345350800 has 120 divisors (see below), whose sum is σ = 18130241376. Its totient is φ = 1341573120.

The previous prime is 5345350799. The next prime is 5345350831. The reversal of 5345350800 is 80535435.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110614 + ... + 151413.

Almost surely, 25345350800 is an apocalyptic number.

5345350800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5345350800 is an abundant number, since it is smaller than the sum of its proper divisors (12784890576).

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

5345350800 is a wasteful number, since it uses less digits than its factorization.

5345350800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262065 (or 262054 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 5345350800 is about 73111.9060071614. The cubic root of 5345350800 is about 1748.4722230780.

The spelling of 5345350800 in words is "five billion, three hundred forty-five million, three hundred fifty thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 136 150 170 200 204 240 255 272 300 340 400 408 425 510 600 680 816 850 1020 1200 1275 1360 1700 2040 2550 3400 4080 5100 6800 10200 20400 262027 524054 786081 1048108 1310135 1572162 2096216 2620270 3144324 3930405 4192432 4454459 5240540 6288648 6550675 7860810 8908918 10481080 12577296 13101350 13363377 15721620 17817836 19652025 20962160 22272295 26202700 26726754 31443240 35635672 39304050 44544590 52405400 53453508 62886480 66816885 71271344 78608100 89089180 104810800 106907016 111361475 133633770 157216200 178178360 213814032 222722950 267267540 314432400 334084425 356356720 445445900 534535080 668168850 890891800 1069070160 1336337700 1781783600 2672675400 5345350800