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5400195328 = 28112989743
BaseRepresentation
bin1010000011110000…
…00111000100000000
3111221100102100100101
411001320013010000
542024422222303
62251504532144
7250551621463
oct50170070400
914840370311
105400195328
1123212a6750
121068621054
13680a3b068
143932b72da
15219157d1d
hex141e07100

5400195328 has 144 divisors (see below), whose sum is σ = 12317961600. Its totient is φ = 2340208640.

The previous prime is 5400195293. The next prime is 5400195329. The reversal of 5400195328 is 8235910045.

It is not an unprimeable number, because it can be changed into a prime (5400195329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7267725 + ... + 7268467.

It is an arithmetic number, because the mean of its divisors is an integer number (85541400).

Almost surely, 25400195328 is an apocalyptic number.

5400195328 is a gapful number since it is divisible by the number (58) 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 5400195328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6158980800).

5400195328 is an abundant number, since it is smaller than the sum of its proper divisors (6917766272).

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

5400195328 is a wasteful number, since it uses less digits than its factorization.

5400195328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 5400195328 is about 73486.0213101784. The cubic root of 5400195328 is about 1754.4317961000.

The spelling of 5400195328 in words is "five billion, four hundred million, one hundred ninety-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 89 116 128 176 178 232 256 319 352 356 464 638 704 712 743 928 979 1276 1408 1424 1486 1856 1958 2552 2581 2816 2848 2972 3712 3916 5104 5162 5696 5944 7424 7832 8173 10208 10324 11392 11888 15664 16346 20416 20648 21547 22784 23776 28391 31328 32692 40832 41296 43094 47552 56782 62656 65384 66127 81664 82592 86188 95104 113564 125312 130768 132254 165184 172376 190208 227128 237017 250624 261536 264508 330368 344752 454256 474034 523072 529016 660736 689504 727397 908512 948068 1046144 1058032 1379008 1454794 1817024 1896136 1917683 2092288 2116064 2758016 2909588 3634048 3792272 3835366 4232128 5516032 5819176 7268096 7584544 7670732 8464256 11638352 15169088 15341464 16928512 21094513 23276704 30338176 30682928 42189026 46553408 60676352 61365856 84378052 93106816 122731712 168756104 186213632 245463424 337512208 490926848 675024416 1350048832 2700097664 5400195328