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5340053004 = 22311138337493
BaseRepresentation
bin1001111100100101…
…01011111000001100
3111210011020210120220
410332102223320030
541414023144004
62241515511340
7246221462436
oct47622537014
914704223526
105340053004
1122a0358950
121050458550
136714413a0
143892dd656
15213c27dd9
hex13e4abe0c

5340053004 has 96 divisors (see below), whose sum is σ = 14815229184. Its totient is φ = 1475685120.

The previous prime is 5340052979. The next prime is 5340053023. The reversal of 5340053004 is 4003500435.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123682 + ... + 161174.

It is an arithmetic number, because the mean of its divisors is an integer number (154325304).

Almost surely, 25340053004 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 5340053004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7407614592).

5340053004 is an abundant number, since it is smaller than the sum of its proper divisors (9475176180).

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

5340053004 is a wasteful number, since it uses less digits than its factorization.

5340053004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37607 (or 37605 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 5340053004 is about 73075.6662918649. Note that the first 3 decimals coincide. The cubic root of 5340053004 is about 1747.8943931471.

Adding to 5340053004 its reverse (4003500435), we get a palindrome (9343553439).

The spelling of 5340053004 in words is "five billion, three hundred forty million, fifty-three thousand, four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 83 132 143 156 166 249 286 332 429 498 572 858 913 996 1079 1716 1826 2158 2739 3237 3652 4316 5478 6474 10956 11869 12948 23738 35607 37493 47476 71214 74986 112479 142428 149972 224958 412423 449916 487409 824846 974818 1237269 1462227 1649692 1949636 2474538 2924454 3111919 4949076 5361499 5848908 6223838 9335757 10722998 12447676 16084497 18671514 21445996 32168994 34231109 37343028 40454947 64337988 68462218 80909894 102693327 121364841 136924436 161819788 205386654 242729682 410773308 445004417 485459364 890008834 1335013251 1780017668 2670026502 5340053004