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48438131586 = 231317118130931
BaseRepresentation
bin101101000111001000…
…110011101110000010
311122000201220000221120
4231013020303232002
51243200130202321
634130245133110
73333225216345
oct550710635602
9148021800846
1048438131586
11195a7076209
1294799ba196
13474c2c8230
1424b712445c
1513d76c8ec6
hexb47233b82

48438131586 has 64 divisors (see below), whose sum is σ = 110562350976. Its totient is φ = 14015001600.

The previous prime is 48438131551. The next prime is 48438131587. The reversal of 48438131586 is 68513183484.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (48438131587) by changing a digit.

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, 1550541 + ... + 1581471.

It is an arithmetic number, because the mean of its divisors is an integer number (1727536734).

Almost surely, 248438131586 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48438131586, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55281175488).

48438131586 is an abundant number, since it is smaller than the sum of its proper divisors (62124219390).

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

48438131586 is a wasteful number, since it uses less digits than its factorization.

48438131586 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32147.

The product of its digits is 2211840, while the sum is 51.

The spelling of 48438131586 in words is "forty-eight billion, four hundred thirty-eight million, one hundred thirty-one thousand, five hundred eighty-six".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 442 663 1181 1326 2362 3543 7086 15353 20077 30706 30931 40154 46059 60231 61862 92118 92793 120462 185586 261001 402103 522002 525827 783003 804206 1051654 1206309 1566006 1577481 2412618 3154962 6835751 13671502 20507253 36529511 41014506 73059022 109588533 219177066 474883643 621001687 949767286 1242003374 1424650929 1863005061 2849301858 3726010122 8073021931 16146043862 24219065793 48438131586