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4653520380 = 22325298631033
BaseRepresentation
bin1000101010101111…
…10001010111111100
3110000022102022212200
410111113301113330
534012300123010
62045433031500
7223214161545
oct42527612774
913008368780
104653520380
111a78877813
12a9a555590
13592138b72
1432206d4cc
151c3815cc0
hex1155f15fc

4653520380 has 144 divisors (see below), whose sum is σ = 14633498880. Its totient is φ = 1195600896.

The previous prime is 4653520357. The next prime is 4653520397. The reversal of 4653520380 is 830253564.

It is a happy number.

4653520380 is a `hidden beast` number, since 4 + 6 + 53 + 520 + 3 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4504344 + ... + 4505376.

It is an arithmetic number, because the mean of its divisors is an integer number (101621520).

Almost surely, 24653520380 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 4653520380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7316749440).

4653520380 is an abundant number, since it is smaller than the sum of its proper divisors (9979978500).

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

4653520380 is a wasteful number, since it uses less digits than its factorization.

4653520380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 4653520380 is about 68216.7162798093. The cubic root of 4653520380 is about 1669.5286393654.

The spelling of 4653520380 in words is "four billion, six hundred fifty-three million, five hundred twenty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 863 870 1033 1044 1305 1726 1740 2066 2589 2610 3099 3452 4132 4315 5165 5178 5220 6198 7767 8630 9297 10330 10356 12396 12945 15495 15534 17260 18594 20660 25027 25890 29957 30990 31068 37188 38835 46485 50054 51780 59914 61980 75081 77670 89871 92970 100108 119828 125135 149785 150162 155340 179742 185940 225243 250270 269613 299570 300324 359484 375405 449355 450486 500540 539226 599140 750810 891479 898710 900972 1078452 1126215 1348065 1501620 1782958 1797420 2252430 2674437 2696130 3565916 4457395 4504860 5348874 5392260 8023311 8914790 10697748 13372185 16046622 17829580 25852891 26744370 32093244 40116555 51705782 53488740 77558673 80233110 103411564 129264455 155117346 160466220 232676019 258528910 310234692 387793365 465352038 517057820 775586730 930704076 1163380095 1551173460 2326760190 4653520380