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84032730072 = 233590747659
BaseRepresentation
bin100111001000010111…
…1011011001111011000
322000220101101222200000
41032100233123033120
52334044334330242
6102334253013000
76033260264064
oct1162057331730
9260811358600
1084032730072
1132702315955
1214352484160
137c02776025
1440d25acaa4
1522bc55ba4c
hex1390bdb3d8

84032730072 has 96 divisors (see below), whose sum is σ = 236283028800. Its totient is φ = 27979439904.

The previous prime is 84032730053. The next prime is 84032730113. The reversal of 84032730072 is 27003723048.

It is a super-2 number, since 2×840327300722 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1739379 + ... + 1787037.

It is an arithmetic number, because the mean of its divisors is an integer number (2461281550).

Almost surely, 284032730072 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 84032730072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118141514400).

84032730072 is an abundant number, since it is smaller than the sum of its proper divisors (152250298728).

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

84032730072 is a wasteful number, since it uses less digits than its factorization.

84032730072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48587 (or 48571 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 84032730072 in words is "eighty-four billion, thirty-two million, seven hundred thirty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 907 972 1814 1944 2721 3628 5442 7256 8163 10884 16326 21768 24489 32652 47659 48978 65304 73467 95318 97956 142977 146934 190636 195912 220401 285954 293868 381272 428931 440802 571908 587736 857862 881604 1143816 1286793 1715724 1763208 2573586 3431448 3860379 5147172 7720758 10294344 11581137 15441516 23162274 30883032 43226713 46324548 86453426 92649096 129680139 172906852 259360278 345813704 389040417 518720556 778080834 1037441112 1167121251 1556161668 2334242502 3112323336 3501363753 4668485004 7002727506 9336970008 10504091259 14005455012 21008182518 28010910024 42016365036 84032730072