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4498037384742 = 2321137839731803
BaseRepresentation
bin100000101110100011111…
…1010111010011000100110
3120221000012221220020011200
41001131013322322120212
51042143440032302432
613322211515343330
7642654362634216
oct101350772723046
916830187806150
104498037384742
111484674927190
126078bb751b46
1326821745b4b5
141179c5a3a246
157c00e662a7c
hex41747eba626

4498037384742 has 96 divisors (see below), whose sum is σ = 10932097962240. Its totient is φ = 1324620164160.

The previous prime is 4498037384741. The next prime is 4498037384801. The reversal of 4498037384742 is 2474837308944.

4498037384742 is a `hidden beast` number, since 4 + 4 + 98 + 0 + 3 + 73 + 8 + 474 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4498037384742.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4498037384741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5780613 + ... + 6512415.

It is an arithmetic number, because the mean of its divisors is an integer number (113876020440).

Almost surely, 24498037384742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4498037384742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5466048981120).

4498037384742 is an abundant number, since it is smaller than the sum of its proper divisors (6434060577498).

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

4498037384742 is a wasteful number, since it uses less digits than its factorization.

4498037384742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732698 (or 732695 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 63.

The spelling of 4498037384742 in words is "four trillion, four hundred ninety-eight billion, thirty-seven million, three hundred eighty-four thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 839 1221 1678 2442 2517 3663 5034 7326 7551 9229 15102 18458 27687 31043 55374 62086 83061 93129 166122 186258 279387 341473 558774 682946 731803 1024419 1463606 2048838 2195409 3073257 4390818 6146514 6586227 8049833 13172454 16099666 24149499 27076711 48298998 54153422 72448497 81230133 144896994 162460266 243690399 297843821 487380798 595687642 613982717 893531463 1227965434 1787062926 1841948151 2680594389 3683896302 5361188778 5525844453 6753809887 11051688906 13507619774 20261429661 22717360529 40522859322 45434721058 60784288983 68152081587 121568577966 136304163174 204456244761 249890965819 408912489522 499781931638 749672897457 1499345794914 2249018692371 4498037384742