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497087368752 = 2431317160129269
BaseRepresentation
bin1110011101111001011…
…01110100111000110000
31202112001212120201022010
413032330231310320300
531121013331300002
61020205255242520
750625200630142
oct7167455647060
91675055521263
10497087368752
111818a4951537
1280409679440
1337b4b8a6930
141a0b8480c92
15cde509b46c
hex73bcb74e30

497087368752 has 160 divisors (see below), whose sum is σ = 1465235593920. Its totient is φ = 143858073600.

The previous prime is 497087368747. The next prime is 497087368829. The reversal of 497087368752 is 257863780794.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16968774 + ... + 16998042.

It is an arithmetic number, because the mean of its divisors is an integer number (9157722462).

Almost surely, 2497087368752 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 497087368752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732617796960).

497087368752 is an abundant number, since it is smaller than the sum of its proper divisors (968148225168).

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

497087368752 is a wasteful number, since it uses less digits than its factorization.

497087368752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30911 (or 30905 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 66.

The spelling of 497087368752 in words is "four hundred ninety-seven billion, eighty-seven million, three hundred sixty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 408 442 624 663 816 884 1326 1601 1768 2652 3202 3536 4803 5304 6404 9606 10608 12808 19212 20813 25616 27217 29269 38424 41626 54434 58538 62439 76848 81651 83252 87807 108868 117076 124878 163302 166504 175614 217736 234152 249756 326604 333008 351228 353821 380497 435472 468304 497573 499512 653208 702456 707642 760994 995146 999024 1061463 1141491 1306416 1404912 1415284 1492719 1521988 1990292 2122926 2282982 2830568 2985438 3043976 3980584 4245852 4565964 5661136 5970876 6087952 6468449 7961168 8491704 9131928 11941752 12936898 16983408 18263856 19405347 23883504 25873796 38810694 46859669 51747592 77621388 93719338 103495184 140579007 155242776 187438676 281158014 310485552 374877352 562316028 609175697 749754704 796614373 1124632056 1218351394 1593228746 1827527091 2249264112 2389843119 2436702788 3186457492 3655054182 4779686238 4873405576 6372914984 7310108364 9559372476 9746811152 10355986849 12745829968 14620216728 19118744952 20711973698 29240433456 31067960547 38237489904 41423947396 62135921094 82847894792 124271842188 165695789584 248543684376 497087368752