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472842103074 = 2311296716322621
BaseRepresentation
bin1101110000101111001…
…01011110100100100010
31200012111011211121100020
412320113211132210202
530221340034244244
61001115355134310
746106316363315
oct6702745364442
91605434747306
10472842103074
11172593049590
1277781a44396
1335786834a93
1418c5843c97c
15c4767add19
hex6e1795e922

472842103074 has 128 divisors (see below), whose sum is σ = 1089851950080. Its totient is φ = 135437702400.

The previous prime is 472842103073. The next prime is 472842103079. The reversal of 472842103074 is 470301248274.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (472842103073) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20891484 + ... + 20914104.

It is an arithmetic number, because the mean of its divisors is an integer number (8514468360).

Almost surely, 2472842103074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472842103074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544925975040).

472842103074 is an abundant number, since it is smaller than the sum of its proper divisors (617009847006).

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

472842103074 is a wasteful number, since it uses less digits than its factorization.

472842103074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22896.

The product of its (nonzero) digits is 301056, while the sum is 42.

The spelling of 472842103074 in words is "four hundred seventy-two billion, eight hundred forty-two million, one hundred three thousand, seventy-four".

Divisors: 1 2 3 6 11 22 29 33 58 66 67 87 134 163 174 201 319 326 402 489 638 737 957 978 1474 1793 1914 1943 2211 3586 3886 4422 4727 5379 5829 9454 10758 10921 11658 14181 21373 21842 22621 28362 32763 42746 45242 51997 64119 65526 67863 103994 120131 128238 135726 155991 240262 248831 311982 316709 360393 497662 633418 656009 720786 746493 950127 1312018 1492986 1515607 1900254 1968027 3031214 3483799 3687223 3936054 4546821 6967598 7216099 7374446 9093642 10451397 11061669 14432198 16671677 20902794 21648297 22123338 33343354 40559453 43296594 43952603 50015031 81118906 87905206 100030062 106929467 121678359 131857809 213858934 243356718 247043941 263715618 320788401 483478633 494087882 641576802 741131823 966957266 1176224137 1450435899 1482263646 2352448274 2717483351 2900871798 3528672411 5434966702 7057344822 7164274289 8152450053 14328548578 16304900106 21492822867 42985645734 78807017179 157614034358 236421051537 472842103074