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437675546068980 = 22358994738652139
BaseRepresentation
bin110001110000100000100011…
…1011100110100011111110100
32010101200101002100000211202020
41203201001013130310133310
5424331334004243201410
64150505211540313140
7161122005020414052
oct14341010734643764
92111611070024666
10437675546068980
1111750317a63a33a
12411085529a27b0
1315a2a81c3b118b
147a118764d31d2
15358ee2a904a70
hex18e10477347f4

437675546068980 has 96 divisors (see below), whose sum is σ = 1239392060323200. Its totient is φ = 115389895999488.

The previous prime is 437675546068973. The next prime is 437675546069053. The reversal of 437675546068980 is 89860645576734.

It is a junction number, because it is equal to n+sod(n) for n = 437675546068896 and 437675546068905.

It is a congruent number.

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, 46259751 + ... + 54911889.

It is an arithmetic number, because the mean of its divisors is an integer number (12910333961700).

Almost surely, 2437675546068980 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 437675546068980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619696030161600).

437675546068980 is an abundant number, since it is smaller than the sum of its proper divisors (801716514254220).

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

437675546068980 is a wasteful number, since it uses less digits than its factorization.

437675546068980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8661713 (or 8661711 counting only the distinct ones).

The product of its (nonzero) digits is 7315660800, while the sum is 78.

The spelling of 437675546068980 in words is "four hundred thirty-seven trillion, six hundred seventy-five billion, five hundred forty-six million, sixty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 356 445 534 890 1068 1335 1780 2670 5340 9473 18946 28419 37892 47365 56838 94730 113676 142095 189460 284190 568380 843097 1686194 2529291 3372388 4215485 5058582 8430970 8652139 10117164 12646455 16861940 17304278 25292910 25956417 34608556 43260695 50585820 51912834 86521390 103825668 129782085 173042780 259564170 519128340 770040371 1540080742 2310121113 3080161484 3850201855 4620242226 7700403710 9240484452 11550605565 15400807420 23101211130 46202422260 81961712747 163923425494 245885138241 327846850988 409808563735 491770276482 819617127470 983540552964 1229425691205 1639234254940 2458851382410 4917702764820 7294592434483 14589184868966 21883777303449 29178369737932 36472962172415 43767554606898 72945924344830 87535109213796 109418886517245 145891848689660 218837773034490 437675546068980