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501553103340 = 223579887119293
BaseRepresentation
bin1110100110001101110…
…01010000000111101100
31202221121002122112111110
413103012321100013230
531204140043301330
61022224343352020
751143645015412
oct7230671200754
91687532575443
10501553103340
11183786718a83
1281255152610
13383b0b43b33
141a3bd5cb2b2
15d0a716bdb0
hex74c6e501ec

501553103340 has 96 divisors (see below), whose sum is σ = 1423740487680. Its totient is φ = 131904504576.

The previous prime is 501553103339. The next prime is 501553103417. The reversal of 501553103340 is 43301355105.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 501553103298 and 501553103307.

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 31 ways as a sum of consecutive naturals, for example, 4144734 + ... + 4264026.

It is an arithmetic number, because the mean of its divisors is an integer number (14830630080).

Almost surely, 2501553103340 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 501553103340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711870243840).

501553103340 is an abundant number, since it is smaller than the sum of its proper divisors (922187384340).

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

501553103340 is a wasteful number, since it uses less digits than its factorization.

501553103340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120271 (or 120269 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

Adding to 501553103340 its reverse (43301355105), we get a palindrome (544854458445).

The spelling of 501553103340 in words is "five hundred one billion, five hundred fifty-three million, one hundred three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 887 948 1185 1580 1774 2370 2661 3548 4435 4740 5322 8870 10644 13305 17740 26610 53220 70073 119293 140146 210219 238586 280292 350365 357879 420438 477172 596465 700730 715758 840876 1051095 1192930 1401460 1431516 1789395 2102190 2385860 3578790 4204380 7157580 9424147 18848294 28272441 37696588 47120735 56544882 94241470 105812891 113089764 141362205 188482940 211625782 282724410 317438673 423251564 529064455 565448820 634877346 1058128910 1269754692 1587193365 2116257820 3174386730 6348773460 8359218389 16718436778 25077655167 33436873556 41796091945 50155310334 83592183890 100310620668 125388275835 167184367780 250776551670 501553103340