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493474085808 = 2431110714995827
BaseRepresentation
bin1110010111001010101…
…10001111101110110000
31202011202001112220220220
413023211112033232300
531041113331221213
61014410542133040
750436514343424
oct7134526175660
91664661486826
10493474085808
11180310290590
127b77b581180
13376c41258a2
1419c54634b84
15cc82c63e23
hex72e558fbb0

493474085808 has 160 divisors (see below), whose sum is σ = 1404874368000. Its totient is φ = 148015822080.

The previous prime is 493474085803. The next prime is 493474085809. The reversal of 493474085808 is 808580474394.

It is a happy number.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (493474085801) 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, 84684591 + ... + 84690417.

It is an arithmetic number, because the mean of its divisors is an integer number (8780464800).

Almost surely, 2493474085808 is an apocalyptic number.

493474085808 is a gapful number since it is divisible by the number (48) 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 493474085808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702437184000).

493474085808 is an abundant number, since it is smaller than the sum of its proper divisors (911400282192).

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

493474085808 is a wasteful number, since it uses less digits than its factorization.

493474085808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7455 (or 7449 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 60.

The spelling of 493474085808 in words is "four hundred ninety-three billion, four hundred seventy-four million, eighty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 107 132 176 214 264 321 428 528 642 856 1177 1284 1499 1712 2354 2568 2998 3531 4497 4708 5136 5827 5996 7062 8994 9416 11654 11992 14124 16489 17481 17988 18832 23308 23984 28248 32978 34962 35976 46616 49467 56496 64097 65956 69924 71952 93232 98934 128194 131912 139848 160393 192291 197868 256388 263824 279696 320786 384582 395736 481179 512776 623489 641572 769164 791472 962358 1025552 1246978 1283144 1538328 1764323 1870467 1924716 2493956 2566288 3076656 3528646 3740934 3849432 4987912 5292969 6858379 7057292 7481868 7698864 8734673 9975824 10585938 13716758 14114584 14963736 17469346 20575137 21171876 26204019 27433516 28229168 29927472 34938692 41150274 42343752 52408038 54867032 69877384 82300548 84687504 96081403 104816076 109734064 139754768 164601096 192162806 209632152 288244209 329202192 384325612 419264304 576488418 768651224 934610011 1152976836 1537302448 1869220022 2305953672 2803830033 3738440044 4611907344 5607660066 7476880088 10280710121 11215320132 14953760176 20561420242 22430640264 30842130363 41122840484 44861280528 61684260726 82245680968 123368521452 164491361936 246737042904 493474085808