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491103363840 = 2835131976271
BaseRepresentation
bin1110010010110000000…
…10101010001100000000
31201221121211121202202120
413021120002222030000
531021234430120330
61013335413244240
750323666500525
oct7113002521400
91657554552676
10491103363840
1117a304056031
127b219633680
1337406c1b41b
1419aab83714c
15cb94a72c10
hex72580aa300

491103363840 has 144 divisors (see below), whose sum is σ = 1580435974656. Its totient is φ = 129961062400.

The previous prime is 491103363809. The next prime is 491103363859. The reversal of 491103363840 is 48363301194.

It is a junction number, because it is equal to n+sod(n) for n = 491103363792 and 491103363801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14905 + ... + 991175.

It is an arithmetic number, because the mean of its divisors is an integer number (10975249824).

Almost surely, 2491103363840 is an apocalyptic number.

491103363840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 491103363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790217987328).

491103363840 is an abundant number, since it is smaller than the sum of its proper divisors (1089332610816).

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

491103363840 is a wasteful number, since it uses less digits than its factorization.

491103363840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976426 (or 976412 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 491103363840 in words is "four hundred ninety-one billion, one hundred three million, three hundred sixty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 131 160 192 240 256 262 320 384 393 480 524 640 655 768 786 960 1048 1280 1310 1572 1920 1965 2096 2620 3144 3840 3930 4192 5240 6288 7860 8384 10480 12576 15720 16768 20960 25152 31440 33536 41920 50304 62880 83840 100608 125760 167680 251520 503040 976271 1952542 2928813 3905084 4881355 5857626 7810168 9762710 11715252 14644065 15620336 19525420 23430504 29288130 31240672 39050840 46861008 58576260 62481344 78101680 93722016 117152520 124962688 127891501 156203360 187444032 234305040 249925376 255783002 312406720 374888064 383674503 468610080 511566004 624813440 639457505 749776128 767349006 937220160 1023132008 1249626880 1278915010 1534698012 1874440320 1918372515 2046264016 2557830020 3069396024 3748880640 3836745030 4092528032 5115660040 6138792048 7673490060 8185056064 10231320080 12277584096 15346980120 16370112128 20462640160 24555168192 30693960240 32740224256 40925280320 49110336384 61387920480 81850560640 98220672768 122775840960 163701121280 245551681920 491103363840