Search a number
-
+
50456177316552 = 23371272677883391
BaseRepresentation
bin10110111100011101111101…
…00001101001001011001000
320121122120012202021000000110
423132032332201221023020
523103133222343112202
6255151125312234320
713425224052554130
oct1336167641511310
9217576182230013
1050456177316552
1115093387783927
1257aa8b383b9a0
13221ccc6841417
14c661406a5ac0
155c77333ae26c
hex2de3be8692c8

50456177316552 has 128 divisors (see below), whose sum is σ = 145350068797440. Its totient is φ = 14297179518720.

The previous prime is 50456177316547. The next prime is 50456177316553. The reversal of 50456177316552 is 25561377165405.

It is a happy number.

It is a super-2 number, since 2×504561773165522 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 50456177316492 and 50456177316501.

It is not an unprimeable number, because it can be changed into a prime (50456177316553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56674777 + ... + 57558167.

It is an arithmetic number, because the mean of its divisors is an integer number (1135547412480).

Almost surely, 250456177316552 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 50456177316552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72675034398720).

50456177316552 is an abundant number, since it is smaller than the sum of its proper divisors (94893891480888).

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

50456177316552 is a wasteful number, since it uses less digits than its factorization.

50456177316552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886211 (or 886207 counting only the distinct ones).

The product of its (nonzero) digits is 26460000, while the sum is 57.

The spelling of 50456177316552 in words is "fifty trillion, four hundred fifty-six billion, one hundred seventy-seven million, three hundred sixteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 127 168 254 381 508 762 889 1016 1524 1778 2667 2677 3048 3556 5334 5354 7112 8031 10668 10708 16062 18739 21336 21416 32124 37478 56217 64248 74956 112434 149912 224868 339979 449736 679958 883391 1019937 1359916 1766782 2039874 2379853 2650173 2719832 3533564 4079748 4759706 5300346 6183737 7067128 7139559 8159496 9519412 10600692 12367474 14279118 18551211 19038824 21201384 24734948 28558236 37102422 49469896 57116472 74204844 112190657 148409688 224381314 336571971 448762628 673143942 785334599 897525256 1346287884 1570669198 2356003797 2364837707 2692575768 3141338396 4712007594 4729675414 6282676792 7094513121 9424015188 9459350828 14189026242 16553863949 18848030376 18918701656 28378052484 33107727898 49661591847 56756104968 66215455796 99323183694 132430911592 198646367388 300334388789 397292734776 600668777578 901003166367 1201337555156 1802006332734 2102340721523 2402675110312 3604012665468 4204681443046 6307022164569 7208025330936 8409362886092 12614044329138 16818725772184 25228088658276 50456177316552