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50445337872 = 24317614872081
BaseRepresentation
bin101110111110110001…
…101100010100010000
311211012121210200100010
4232332301230110100
51311303001302442
635101350354520
73434040203616
oct567661542420
9154177720303
1050445337872
111a437094a86
12993a05ba40
1349ac0c6667
1426279376b6
1514a3a11b9c
hexbbec6c510

50445337872 has 160 divisors (see below), whose sum is σ = 140600358144. Its totient is φ = 15527116800.

The previous prime is 50445337781. The next prime is 50445337883. The reversal of 50445337872 is 27873354405.

50445337872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×504453378722 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24239872 + ... + 24241952.

Almost surely, 250445337872 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 50445337872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70300179072).

50445337872 is an abundant number, since it is smaller than the sum of its proper divisors (90155020272).

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

50445337872 is a wasteful number, since it uses less digits than its factorization.

50445337872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2657 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 48.

The spelling of 50445337872 in words is "fifty billion, four hundred forty-five million, three hundred thirty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 61 68 102 122 136 183 204 244 272 366 408 487 488 732 816 974 976 1037 1461 1464 1948 2074 2081 2922 2928 3111 3896 4148 4162 5844 6222 6243 7792 8279 8296 8324 11688 12444 12486 16558 16592 16648 23376 24837 24888 24972 29707 33116 33296 35377 49674 49776 49944 59414 66232 70754 89121 99348 99888 106131 118828 126941 132464 141508 178242 198696 212262 237656 253882 283016 356484 380823 397392 424524 475312 505019 507764 566032 712968 761646 849048 1010038 1013447 1015528 1425936 1515057 1523292 1698096 2020076 2026894 2031056 2157997 3030114 3040341 3046584 4040152 4053788 4315994 6060228 6080682 6093168 6473991 8080304 8107576 8631988 12120456 12161364 12947982 16215152 17228599 17263976 24240912 24322728 25895964 34457198 34527952 48645456 51685797 51791928 61820267 68914396 103371594 103583856 123640534 137828792 185460801 206743188 247281068 275657584 370921602 413486376 494562136 741843204 826972752 989124272 1050944539 1483686408 2101889078 2967372816 3152833617 4203778156 6305667234 8407556312 12611334468 16815112624 25222668936 50445337872