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620730430164 = 223413478930773
BaseRepresentation
bin10010000100001100110…
…10101011001011010100
32012100012202211000120000
421002012122223023110
540132223442231124
61153054251211300
762563164412635
oct11020632531324
92170182730500
10620730430164
1121a283166609
12a0375446b30
13466c476a230
142208758588c
151122ecbc6c9
hex90866ab2d4

620730430164 has 120 divisors (see below), whose sum is σ = 1747957660680. Its totient is φ = 190947891456.

The previous prime is 620730430147. The next prime is 620730430169. The reversal of 620730430164 is 461034037026.

It is a happy number.

620730430164 is a `hidden beast` number, since 6 + 207 + 3 + 0 + 430 + 16 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53133938064 + 567596492100 = 230508^2 + 753390^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (620730430169) 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 39 ways as a sum of consecutive naturals, for example, 20155882 + ... + 20186654.

It is an arithmetic number, because the mean of its divisors is an integer number (14566313839).

Almost surely, 2620730430164 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 620730430164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873978830340).

620730430164 is an abundant number, since it is smaller than the sum of its proper divisors (1127227230516).

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

620730430164 is a wasteful number, since it uses less digits than its factorization.

620730430164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35591 (or 35580 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 620730430164 in words is "six hundred twenty billion, seven hundred thirty million, four hundred thirty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 4212 4789 9578 14367 19156 28734 30773 43101 57468 61546 62257 86202 92319 123092 124514 129303 172404 184638 186771 249028 258606 276957 369276 373542 387909 400049 517212 553914 560313 747084 775818 800098 830871 1107828 1120626 1200147 1551636 1600196 1661742 1680939 2241252 2400294 2492613 3323484 3361878 3600441 4800588 4985226 5042817 6723756 7200882 9970452 10085634 10801323 14401764 20171268 21602646 32403969 43205292 64807938 129615876 147371897 294743794 442115691 589487588 884231382 1326347073 1768462764 1915834661 2652694146 3831669322 3979041219 5305388292 5747503983 7663338644 7958082438 11495007966 11937123657 15916164876 17242511949 22990015932 23874247314 34485023898 47748494628 51727535847 68970047796 103455071694 155182607541 206910143388 310365215082 620730430164