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493468521680 = 245291311623679
BaseRepresentation
bin1110010111001010000…
…01000001010011010000
31202011201200002020101002
413023211001001103100
531041110420143210
61014410223001132
750436416140451
oct7134501012320
91664650066332
10493468521680
11180308130132
127b7797391a8
13376c2c280c4
1419c539c7128
15cc825154a5
hex72e50414d0

493468521680 has 80 divisors (see below), whose sum is σ = 1195937740800. Its totient is φ = 189126013440.

The previous prime is 493468521673. The next prime is 493468521713. The reversal of 493468521680 is 86125864394.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4934685216802 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 507920 + ... + 1115759.

It is an arithmetic number, because the mean of its divisors is an integer number (14949221760).

Almost surely, 2493468521680 is an apocalyptic number.

493468521680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

493468521680 is an abundant number, since it is smaller than the sum of its proper divisors (702469219120).

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

493468521680 is a wasteful number, since it uses less digits than its factorization.

493468521680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623852 (or 1623846 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 56.

The spelling of 493468521680 in words is "four hundred ninety-three billion, four hundred sixty-eight million, five hundred twenty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 131 145 232 262 290 464 524 580 655 1048 1160 1310 2096 2320 2620 3799 5240 7598 10480 15196 18995 30392 37990 60784 75980 151960 303920 1623679 3247358 6494716 8118395 12989432 16236790 25978864 32473580 47086691 64947160 94173382 129894320 188346764 212701949 235433455 376693528 425403898 470866910 753387056 850807796 941733820 1063509745 1701615592 1883467640 2127019490 3403231184 3766935280 4254038980 6168356521 8508077960 12336713042 17016155920 24673426084 30841782605 49346852168 61683565210 98693704336 123367130420 246734260840 493468521680