Search a number
-
+
502026761340 = 2232513887241873
BaseRepresentation
bin1110100111000110010…
…00000111010001111100
31202222211002220212010100
413103203020013101330
531211122322330330
61022343343441100
751161456030466
oct7234310072174
91688732825110
10502026761340
111839aa023275
12813678b6190
1338458004c40
141a426487136
15d0d3a30060
hex74e320747c

502026761340 has 144 divisors (see below), whose sum is σ = 1641809752128. Its totient is φ = 123435988992.

The previous prime is 502026761329. The next prime is 502026761387. The reversal of 502026761340 is 43167620205.

502026761340 is a `hidden beast` number, since 50 + 2 + 0 + 267 + 6 + 1 + 340 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 502026761295 and 502026761304.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1954644 + ... + 2196516.

It is an arithmetic number, because the mean of its divisors is an integer number (11401456612).

Almost surely, 2502026761340 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 502026761340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820904876064).

502026761340 is an abundant number, since it is smaller than the sum of its proper divisors (1139782990788).

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

502026761340 is a wasteful number, since it uses less digits than its factorization.

502026761340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242788 (or 242783 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 502026761340 in words is "five hundred two billion, twenty-six million, seven hundred sixty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 887 1170 1774 2340 2661 3548 4435 5322 7983 8870 10644 11531 13305 15966 17740 23062 26610 31932 34593 39915 46124 53220 57655 69186 79830 103779 115310 138372 159660 172965 207558 230620 241873 345930 415116 483746 518895 691860 725619 967492 1037790 1209365 1451238 2075580 2176857 2418730 2902476 3144349 3628095 4353714 4837460 6288698 7256190 8707428 9433047 10884285 12577396 14512380 15721745 18866094 21768570 28299141 31443490 37732188 43537140 47165235 56598282 62886980 94330470 113196564 141495705 188660940 214541351 282991410 429082702 565982820 643624053 858165404 1072706755 1287248106 1930872159 2145413510 2574496212 2789037563 3218120265 3861744318 4290827020 5578075126 6436240530 7723488636 8367112689 9654360795 11156150252 12872481060 13945187815 16734225378 19308721590 25101338067 27890375630 33468450756 38617443180 41835563445 50202676134 55780751260 83671126890 100405352268 125506690335 167342253780 251013380670 502026761340