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84642703452 = 223217434616977
BaseRepresentation
bin100111011010100011…
…0010010100001011100
322002110220011211211200
41032311012102201130
52341322013002302
6102515002515500
76054345052116
oct1166506224134
9262426154750
1084642703452
113299566598a
12144a2805b90
137c9bc54318
14414d5d03b6
152305d9981c
hex13b519285c

84642703452 has 144 divisors (see below), whose sum is σ = 232348308192. Its totient is φ = 25877053440.

The previous prime is 84642703447. The next prime is 84642703493. The reversal of 84642703452 is 25430724648.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 84642703398 and 84642703407.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 12128188 + ... + 12135164.

It is an arithmetic number, because the mean of its divisors is an integer number (1613529918).

Almost surely, 284642703452 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 84642703452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116174154096).

84642703452 is an abundant number, since it is smaller than the sum of its proper divisors (147705604740).

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

84642703452 is a wasteful number, since it uses less digits than its factorization.

84642703452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7508 (or 7503 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 84642703452 in words is "eighty-four billion, six hundred forty-two million, seven hundred three thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 43 51 68 86 102 129 153 172 204 258 306 387 461 516 612 731 774 922 1383 1462 1548 1844 2193 2766 2924 4149 4386 5532 6579 6977 7837 8298 8772 13158 13954 15674 16596 19823 20931 23511 26316 27908 31348 39646 41862 47022 59469 62793 70533 79292 83724 94044 118609 118938 125586 141066 178407 237218 237876 251172 282132 300011 336991 355827 356814 474436 600022 673982 711654 713628 900033 1010973 1067481 1200044 1347964 1423308 1800066 2021946 2134962 2700099 3032919 3216397 3600132 4043892 4269924 5100187 5400198 6065838 6432794 9649191 10200374 10800396 12131676 12865588 15300561 19298382 20400748 28947573 30601122 38596764 45901683 54678749 57895146 61202244 91803366 109357498 115790292 138305071 164036247 183606732 218714996 276610142 328072494 414915213 492108741 553220284 656144988 829830426 984217482 1244745639 1659660852 1968434964 2351186207 2489491278 4702372414 4978982556 7053558621 9404744828 14107117242 21160675863 28214234484 42321351726 84642703452