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84630725370 = 236546724859
BaseRepresentation
bin100111011010001100…
…0100110001011111010
322002110001122022000000
41032310120212023322
52341310431202440
6102513454053430
76054141203442
oct1166430461372
9262401568000
1084630725370
1132989924644
121449a7aa276
137c9961c2b9
14414bb93122
152304cd0730
hex13b46262fa

84630725370 has 112 divisors (see below), whose sum is σ = 228896759520. Its totient is φ = 22518961632.

The previous prime is 84630725363. The next prime is 84630725381. The reversal of 84630725370 is 7352703648.

84630725370 is a `hidden beast` number, since 8 + 4 + 630 + 7 + 2 + 5 + 3 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3392001 + ... + 3416859.

Almost surely, 284630725370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84630725370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114448379760).

84630725370 is an abundant number, since it is smaller than the sum of its proper divisors (144266034150).

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

84630725370 is a wasteful number, since it uses less digits than its factorization.

84630725370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25351 (or 25336 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

It can be divided in two parts, 84630 and 725370, that added together give a 4-th power (810000 = 304).

The spelling of 84630725370 in words is "eighty-four billion, six hundred thirty million, seven hundred twenty-five thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 467 486 729 810 934 1215 1401 1458 2335 2430 2802 3645 4203 4670 7005 7290 8406 12609 14010 21015 24859 25218 37827 42030 49718 63045 74577 75654 113481 124295 126090 149154 189135 223731 226962 248590 340443 372885 378270 447462 567405 671193 680886 745770 1118655 1134810 1342386 1702215 2013579 2237310 3355965 3404430 4027158 6040737 6711930 10067895 11609153 12081474 18122211 20135790 23218306 30203685 34827459 36244422 58045765 60407370 69654918 90611055 104482377 116091530 174137295 181222110 208964754 313447131 348274590 522411885 626894262 940341393 1044823770 1567235655 1880682786 2821024179 3134471310 4701706965 5642048358 8463072537 9403413930 14105120895 16926145074 28210241790 42315362685 84630725370