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84628383552 = 2633379129221
BaseRepresentation
bin100111011010000111…
…1101010011101000000
322002102220020022122000
41032310033222131000
52341304331233202
6102513331544000
76054112251126
oct1166417523500
9262386208560
1084628383552
1132988575159
1214499a5b000
137c98cac3cb
14414b743916
1523049bb91c
hex13b43ea740

84628383552 has 112 divisors (see below), whose sum is σ = 249450148800. Its totient is φ = 28134812160.

The previous prime is 84628383523. The next prime is 84628383559. The reversal of 84628383552 is 25538382648.

It is a happy number.

84628383552 is a `hidden beast` number, since 8 + 4 + 6 + 2 + 8 + 3 + 83 + 552 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84628383559) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 590302 + ... + 719522.

Almost surely, 284628383552 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 84628383552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124725074400).

84628383552 is an abundant number, since it is smaller than the sum of its proper divisors (164821765248).

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

84628383552 is a wasteful number, since it uses less digits than its factorization.

84628383552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129621 (or 129605 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 84628383552 in words is "eighty-four billion, six hundred twenty-eight million, three hundred eighty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 379 432 576 758 864 1137 1516 1728 2274 3032 3411 4548 6064 6822 9096 10233 12128 13644 18192 20466 24256 27288 36384 40932 54576 72768 81864 109152 129221 163728 218304 258442 327456 387663 516884 654912 775326 1033768 1162989 1550652 2067536 2325978 3101304 3488967 4135072 4651956 6202608 6977934 8270144 9303912 12405216 13955868 18607824 24810432 27911736 37215648 48974759 55823472 74431296 97949518 111646944 146924277 195899036 223293888 293848554 391798072 440772831 587697108 783596144 881545662 1175394216 1322318493 1567192288 1763091324 2350788432 2644636986 3134384576 3526182648 4701576864 5289273972 7052365296 9403153728 10578547944 14104730592 21157095888 28209461184 42314191776 84628383552