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84828102632 = 237213127131071
BaseRepresentation
bin100111100000000100…
…1100001111111101000
322002221211001002200222
41033000021201333220
52342211443241012
6102545224345212
76062055655400
oct1170011417750
9262854032628
1084828102632
1132a80286049
1214534915208
137ccb498890
14416a091800
1523172bc972
hex13c0261fe8

84828102632 has 96 divisors (see below), whose sum is σ = 200823275520. Its totient is φ = 33293877120.

The previous prime is 84828102589. The next prime is 84828102673. The reversal of 84828102632 is 23620182848.

It is a super-2 number, since 2×848281026322 (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 581657 + ... + 712727.

It is an arithmetic number, because the mean of its divisors is an integer number (2091909120).

Almost surely, 284828102632 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 84828102632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100411637760).

84828102632 is an abundant number, since it is smaller than the sum of its proper divisors (115995172888).

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

84828102632 is a wasteful number, since it uses less digits than its factorization.

84828102632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131231 (or 131220 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 44.

The spelling of 84828102632 in words is "eighty-four billion, eight hundred twenty-eight million, one hundred two thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 127 182 196 254 364 392 508 637 728 889 1016 1274 1651 1778 2548 3302 3556 5096 6223 6604 7112 11557 12446 13208 23114 24892 46228 49784 80899 92456 131071 161798 262142 323596 524284 647192 917497 1048568 1703923 1834994 3407846 3669988 6422479 6815692 7339976 11927461 12844958 13631384 16646017 23854922 25689916 33292034 47709844 51379832 66584068 83492227 95419688 116522119 133168136 166984454 216398221 233044238 333968908 432796442 466088476 667937816 815654833 865592884 932176952 1514787547 1631309666 1731185768 3029575094 3262619332 6059150188 6525238664 10603512829 12118300376 21207025658 42414051316 84828102632