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497063165952 = 21733733389
BaseRepresentation
bin1110011101110110100…
…01100000000000000000
31202112000012001002022010
413032323101200000000
531120441132302302
61020203032412520
750624455125063
oct7167321400000
91675005032263
10497063165952
11181892220621
1280401547140
1337b46881552
141a0b51808da
15cde2dba16c
hex73bb460000

497063165952 has 144 divisors (see below), whose sum is σ = 1329442495920. Its totient is φ = 165194760192.

The previous prime is 497063165857. The next prime is 497063165983. The reversal of 497063165952 is 259561360794.

It is a junction number, because it is equal to n+sod(n) for n = 497063165892 and 497063165901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146667874 + ... + 146671262.

It is an arithmetic number, because the mean of its divisors is an integer number (9232239555).

Almost surely, 2497063165952 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 497063165952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664721247960).

497063165952 is an abundant number, since it is smaller than the sum of its proper divisors (832379329968).

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

497063165952 is an frugal number, since it uses more digits than its factorization.

497063165952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3799 (or 3767 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 57.

The spelling of 497063165952 in words is "four hundred ninety-seven billion, sixty-three million, one hundred sixty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 373 384 512 746 768 1024 1119 1492 1536 2048 2238 2984 3072 3389 4096 4476 5968 6144 6778 8192 8952 10167 11936 12288 13556 16384 17904 20334 23872 24576 27112 32768 35808 40668 47744 49152 54224 65536 71616 81336 95488 98304 108448 131072 143232 162672 190976 196608 216896 286464 325344 381952 393216 433792 572928 650688 763904 867584 1145856 1264097 1301376 1527808 1735168 2291712 2528194 2602752 3055616 3470336 3792291 4583424 5056388 5205504 6111232 6940672 7584582 9166848 10112776 10411008 12222464 13881344 15169164 18333696 20225552 20822016 24444928 27762688 30338328 36667392 40451104 41644032 48889856 55525376 60676656 73334784 80902208 83288064 111050752 121353312 146669568 161804416 166576128 222101504 242706624 323608832 333152256 444203008 485413248 647217664 666304512 970826496 1294435328 1332609024 1941652992 2588870656 3883305984 5177741312 7766611968 10355482624 15533223936 20710965248 31066447872 41421930496 62132895744 82843860992 124265791488 165687721984 248531582976 497063165952