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5073537084 = 2237117375217
BaseRepresentation
bin1001011100110100…
…00000100000111100
3111002120202101110220
410232122000200330
540342311141314
62155235301340
7236504232210
oct45632004074
914076671426
105073537084
112173974560
12b9714a850
1362b168365
14361b64940
151ea6303a9
hex12e68083c

5073537084 has 96 divisors (see below), whose sum is σ = 14961762816. Its totient is φ = 1299732480.

The previous prime is 5073537067. The next prime is 5073537089. The reversal of 5073537084 is 4807353705.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5073537089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29844 + ... + 105060.

It is an arithmetic number, because the mean of its divisors is an integer number (155851696).

Almost surely, 25073537084 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 5073537084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7480881408).

5073537084 is an abundant number, since it is smaller than the sum of its proper divisors (9888225732).

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

5073537084 is a wasteful number, since it uses less digits than its factorization.

5073537084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75315 (or 75313 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The square root of 5073537084 is about 71228.7658463910. The cubic root of 5073537084 is about 1718.3182909146.

The spelling of 5073537084 in words is "five billion, seventy-three million, five hundred thirty-seven thousand, eighty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 73 77 84 132 146 154 219 231 292 308 438 462 511 803 876 924 1022 1533 1606 2044 2409 3066 3212 4818 5621 6132 9636 11242 16863 22484 33726 67452 75217 150434 225651 300868 451302 526519 827387 902604 1053038 1579557 1654774 2106076 2482161 3159114 3309548 4964322 5490841 5791709 6318228 9928644 10981682 11583418 16472523 17375127 21963364 23166836 32945046 34750254 38435887 60399251 65890092 69500508 76871774 115307661 120798502 153743548 181197753 230615322 241597004 362395506 422794757 461230644 724791012 845589514 1268384271 1691179028 2536768542 5073537084