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5378377728 = 21131946073
BaseRepresentation
bin1010000001001001…
…11000100000000000
3111212211100220020010
411000210320200000
542003331041403
62245405144520
7250165312353
oct50044704000
914784326203
105378377728
11230aa54879
12106125b140
1367936c539
1439043829a
15217298603
hex140938800

5378377728 has 96 divisors (see below), whose sum is σ = 15093842400. Its totient is φ = 1698398208.

The previous prime is 5378377727. The next prime is 5378377733. The reversal of 5378377728 is 8277738735.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (5378377727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93700 + ... + 139772.

It is an arithmetic number, because the mean of its divisors is an integer number (157227525).

Almost surely, 25378377728 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 5378377728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7546921200).

5378377728 is an abundant number, since it is smaller than the sum of its proper divisors (9715464672).

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

5378377728 is a wasteful number, since it uses less digits than its factorization.

5378377728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46117 (or 46097 counting only the distinct ones).

The product of its digits is 13829760, while the sum is 57.

The square root of 5378377728 is about 73337.4237889497. The cubic root of 5378377728 is about 1752.0658843888.

The spelling of 5378377728 in words is "five billion, three hundred seventy-eight million, three hundred seventy-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 2048 2432 3072 3648 4864 6144 7296 9728 14592 19456 29184 38912 46073 58368 92146 116736 138219 184292 276438 368584 552876 737168 875387 1105752 1474336 1750774 2211504 2626161 2948672 3501548 4423008 5252322 5897344 7003096 8846016 10504644 11794688 14006192 17692032 21009288 23589376 28012384 35384064 42018576 47178752 56024768 70768128 84037152 94357504 112049536 141536256 168074304 224099072 283072512 336148608 448198144 672297216 896396288 1344594432 1792792576 2689188864 5378377728