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84486184056 = 23333183152017
BaseRepresentation
bin100111010101111000…
…1001101110001111000
322002001222122211121000
41032223301031301320
52341011430342211
6102451252045000
76050434500261
oct1165361156170
9262058584530
1084486184056
113291528060a
121445a303760
137c756b1bb1
1441368c9968
1522e727d656
hex13abc4dc78

84486184056 has 128 divisors (see below), whose sum is σ = 245174630400. Its totient is φ = 26925073920.

The previous prime is 84486184033. The next prime is 84486184067. The reversal of 84486184056 is 65048168448.

It is a happy number.

84486184056 is a `hidden beast` number, since 84 + 486 + 1 + 84 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×844861840562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 84486183993 and 84486184011.

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, 479760 + ... + 631776.

It is an arithmetic number, because the mean of its divisors is an integer number (1915426800).

Almost surely, 284486184056 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 84486184056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122587315200).

84486184056 is an abundant number, since it is smaller than the sum of its proper divisors (160688446344).

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

84486184056 is a wasteful number, since it uses less digits than its factorization.

84486184056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152146 (or 152136 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 84486184056 in words is "eighty-four billion, four hundred eighty-six million, one hundred eighty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 83 93 108 124 166 186 216 248 249 279 332 372 498 558 664 744 747 837 996 1116 1494 1674 1992 2232 2241 2573 2988 3348 4482 5146 5976 6696 7719 8964 10292 15438 17928 20584 23157 30876 46314 61752 69471 92628 138942 152017 185256 277884 304034 456051 555768 608068 912102 1216136 1368153 1824204 2736306 3648408 4104459 4712527 5472612 8208918 9425054 10945224 12617411 14137581 16417836 18850108 25234822 28275162 32835672 37700216 37852233 42412743 50469644 56550324 75704466 84825486 100939288 113100648 113556699 127238229 151408932 169650972 227113398 254476458 302817864 339301944 340670097 391139741 454226796 508952916 681340194 782279482 908453592 1017905832 1173419223 1362680388 1564558964 2346838446 2725360776 3129117928 3520257669 4693676892 7040515338 9387353784 10560773007 14081030676 21121546014 28162061352 42243092028 84486184056