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5109085536 = 253672932711
BaseRepresentation
bin1001100001000011…
…00111010101100000
3111012001122102210020
410300201213111200
540430411214121
62202545233440
7240415340052
oct46041472540
914161572706
105109085536
112191a44645
12ba7032880
13635633949
143667798d2
151ed8031c6
hex130867560

5109085536 has 96 divisors (see below), whose sum is σ = 13663012608. Its totient is φ = 1671267840.

The previous prime is 5109085523. The next prime is 5109085537. The reversal of 5109085536 is 6355809015.

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

It is a super-2 number, since 2×51090855362 = 52205510028328814592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5109085537) 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 15 ways as a sum of consecutive naturals, for example, 1883221 + ... + 1885931.

It is an arithmetic number, because the mean of its divisors is an integer number (142323048).

Almost surely, 25109085536 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 5109085536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6831506304).

5109085536 is an abundant number, since it is smaller than the sum of its proper divisors (8553927072).

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

5109085536 is a wasteful number, since it uses less digits than its factorization.

5109085536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3084 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 42.

The square root of 5109085536 is about 71477.8674555978. The cubic root of 5109085536 is about 1722.3221672054.

The spelling of 5109085536 in words is "five billion, one hundred nine million, eighty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 293 402 536 586 804 879 1072 1172 1608 1758 2144 2344 2711 3216 3516 4688 5422 6432 7032 8133 9376 10844 14064 16266 19631 21688 28128 32532 39262 43376 58893 65064 78524 86752 117786 130128 157048 181637 235572 260256 314096 363274 471144 544911 628192 726548 794323 942288 1089822 1453096 1588646 1884576 2179644 2382969 2906192 3177292 4359288 4765938 5812384 6354584 8718576 9531876 12709168 17437152 19063752 25418336 38127504 53219641 76255008 106439282 159658923 212878564 319317846 425757128 638635692 851514256 1277271384 1703028512 2554542768 5109085536