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490907720232 = 23334216618167
BaseRepresentation
bin1110010010011000110…
…00010101101000101000
31201221010012111001012000
413021030120111220220
531020334334021412
61013304144051000
750316102526146
oct7111430255050
91657105431160
10490907720232
1117a2136790a6
127b184003a60
13373a552ac87
1419a8d86a596
15cb827c94dc
hex724c615a28

490907720232 has 128 divisors (see below), whose sum is σ = 1369107091200. Its totient is φ = 162980294400.

The previous prime is 490907720221. The next prime is 490907720239. The reversal of 490907720232 is 232027709094.

490907720232 is a `hidden beast` number, since 490 + 90 + 7 + 72 + 0 + 2 + 3 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (490907720239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60104613 + ... + 60112779.

It is an arithmetic number, because the mean of its divisors is an integer number (10696149150).

Almost surely, 2490907720232 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 490907720232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684553545600).

490907720232 is an abundant number, since it is smaller than the sum of its proper divisors (878199370968).

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

490907720232 is a wasteful number, since it uses less digits than its factorization.

490907720232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9264 (or 9254 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 490907720232 in words is "four hundred ninety billion, nine hundred seven million, seven hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 421 661 842 1263 1322 1684 1983 2526 2644 3368 3789 3966 5052 5288 5949 7578 7932 8167 10104 11367 11898 15156 15864 16334 17847 22734 23796 24501 30312 32668 35694 45468 47592 49002 65336 71388 73503 90936 98004 142776 147006 196008 220509 278281 294012 441018 556562 588024 834843 882036 1113124 1669686 1764072 2226248 2504529 3339372 3438307 5009058 5398387 6678744 6876614 7513587 10018116 10314921 10796774 13753228 15027174 16195161 20036232 20629842 21593548 27506456 30054348 30944763 32390322 41259684 43187096 48585483 60108696 61889526 64780644 82519368 92834289 97170966 123779052 129561288 145756449 185668578 194341932 247558104 291512898 371337156 388683864 583025796 742674312 1166051592 2272720927 4545441854 6818162781 9090883708 13636325562 18181767416 20454488343 27272651124 40908976686 54545302248 61363465029 81817953372 122726930058 163635906744 245453860116 490907720232