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42602357538 = 23313312398191
BaseRepresentation
bin100111101011010011…
…000110001100100010
311001222000211222221000
4213223103012030202
51144222200420123
631323220212430
73035504031006
oct475323061442
9131860758830
1042602357538
1117081a13854
12830b53a116
13402c26c5b0
1420c2064706
1511951d0b43
hex9eb4c6322

42602357538 has 128 divisors (see below), whose sum is σ = 105696460800. Its totient is φ = 12630945600.

The previous prime is 42602357513. The next prime is 42602357557. The reversal of 42602357538 is 83575320624.

42602357538 is a `hidden beast` number, since 4 + 2 + 60 + 2 + 3 + 57 + 538 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42602357493 and 42602357502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5197023 + ... + 5205213.

It is an arithmetic number, because the mean of its divisors is an integer number (825753600).

Almost surely, 242602357538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42602357538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52848230400).

42602357538 is an abundant number, since it is smaller than the sum of its proper divisors (63094103262).

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

42602357538 is a wasteful number, since it uses less digits than its factorization.

42602357538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8485 (or 8479 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 42602357538 in words is "forty-two billion, six hundred two million, three hundred fifty-seven thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 93 117 186 234 239 279 351 403 478 558 702 717 806 837 1209 1434 1674 2151 2418 3107 3627 4302 6214 6453 7254 7409 8191 9321 10881 12906 14818 16382 18642 21762 22227 24573 27963 44454 49146 55926 66681 73719 83889 96317 106483 133362 147438 167778 192634 200043 212966 221157 253921 288951 319449 400086 442314 507842 577902 638898 761763 866853 958347 1523526 1733706 1916694 1957649 2285289 2600559 2875041 3300973 3915298 4570578 5201118 5750082 5872947 6601946 6855867 9902919 11745894 13711734 17618841 19805838 25449437 29708757 35237682 50898874 52856523 59417514 60687119 76348311 89126271 105713046 121374238 152696622 178252542 182061357 229044933 364122714 458089866 546184071 687134799 788932547 1092368142 1374269598 1577865094 1638552213 2366797641 3277104426 4733595282 7100392923 14200785846 21301178769 42602357538