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493738506624 = 27311116888851
BaseRepresentation
bin1110010111101010001…
…10111011100110000000
31202012102111002220002110
413023311012323212000
531042134024202444
61014453105415320
750446205026536
oct7136506734600
91665374086073
10493738506624
11180436573890
127b83403a540
1337736b470cc
1419c7b7c6156
15cc9b095cb9
hex72f51bb980

493738506624 has 64 divisors (see below), whose sum is σ = 1430719548480. Its totient is φ = 149617728000.

The previous prime is 493738506589. The next prime is 493738506647. The reversal of 493738506624 is 426605837394.

493738506624 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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, 58440202 + ... + 58448649.

It is an arithmetic number, because the mean of its divisors is an integer number (22354992945).

Almost surely, 2493738506624 is an apocalyptic number.

493738506624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

493738506624 is an abundant number, since it is smaller than the sum of its proper divisors (936981041856).

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

493738506624 is a wasteful number, since it uses less digits than its factorization.

493738506624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116888879 (or 116888867 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 57.

The spelling of 493738506624 in words is "four hundred ninety-three billion, seven hundred thirty-eight million, five hundred six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 116888851 233777702 350666553 467555404 701333106 935110808 1285777361 1402666212 1870221616 2571554722 2805332424 3740443232 3857332083 5143109444 5610664848 7480886464 7714664166 10286218888 11221329696 14961772928 15429328332 20572437776 22442659392 30858656664 41144875552 44885318784 61717313328 82289751104 123434626656 164579502208 246869253312 493738506624