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5426724384 = 253317935089
BaseRepresentation
bin1010000110111010…
…10011111000100000
3112000012100011101000
411003131103320200
542103220140014
62254253312000
7251323252614
oct50335237040
915005304330
105426724384
112335276394
121075495600
13686399223
14396a21344
1521b648509
hex143753e20

5426724384 has 96 divisors (see below), whose sum is σ = 15916824000. Its totient is φ = 1798751232.

The previous prime is 5426724337. The next prime is 5426724409. The reversal of 5426724384 is 4834276245.

It is a happy number.

5426724384 is a `hidden beast` number, since 5 + 4 + 267 + 2 + 4 + 384 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137112 + ... + 172200.

It is an arithmetic number, because the mean of its divisors is an integer number (165800250).

Almost surely, 25426724384 is an apocalyptic number.

5426724384 is a gapful number since it is divisible by the number (54) 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 5426724384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7958412000).

5426724384 is an abundant number, since it is smaller than the sum of its proper divisors (10490099616).

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

5426724384 is a wasteful number, since it uses less digits than its factorization.

5426724384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35287 (or 35273 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The square root of 5426724384 is about 73666.3042645686. The cubic root of 5426724384 is about 1757.3000510003.

The spelling of 5426724384 in words is "five billion, four hundred twenty-six million, seven hundred twenty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 179 216 288 358 432 537 716 864 1074 1432 1611 2148 2864 3222 4296 4833 5728 6444 8592 9666 12888 17184 19332 25776 35089 38664 51552 70178 77328 105267 140356 154656 210534 280712 315801 421068 561424 631602 842136 947403 1122848 1263204 1684272 1894806 2526408 3368544 3789612 5052816 6280931 7579224 10105632 12561862 15158448 18842793 25123724 30316896 37685586 50247448 56528379 75371172 100494896 113056758 150742344 169585137 200989792 226113516 301484688 339170274 452227032 602969376 678340548 904454064 1356681096 1808908128 2713362192 5426724384