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642426151640 = 235713317556753
BaseRepresentation
bin10010101100100111001…
…01010010001011011000
32021102012210010212100212
421112103211102023120
541011142043323030
61211043153550252
764261630122140
oct11262345221330
92242183125325
10642426151640
112284a68a6239
12a460b275388
1348771553b50
1423144b5b920
1511a9e844595
hex95939522d8

642426151640 has 128 divisors (see below), whose sum is σ = 1784641541760. Its totient is φ = 202675544064.

The previous prime is 642426151621. The next prime is 642426151691. The reversal of 642426151640 is 46151624246.

It is a super-2 number, since 2×6424261516402 (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 31 ways as a sum of consecutive naturals, for example, 875504 + ... + 1432256.

It is an arithmetic number, because the mean of its divisors is an integer number (13942512045).

Almost surely, 2642426151640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642426151640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892320770880).

642426151640 is an abundant number, since it is smaller than the sum of its proper divisors (1142215390120).

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

642426151640 is a wasteful number, since it uses less digits than its factorization.

642426151640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557101 (or 557097 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

Adding to 642426151640 its reverse (46151624246), we get a palindrome (688577775886).

The spelling of 642426151640 in words is "six hundred forty-two billion, four hundred twenty-six million, one hundred fifty-one thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 317 364 455 520 634 728 910 1268 1585 1820 2219 2536 3170 3640 4121 4438 6340 8242 8876 11095 12680 16484 17752 20605 22190 28847 32968 41210 44380 57694 82420 88760 115388 144235 164840 230776 288470 556753 576940 1113506 1153880 2227012 2783765 3897271 4454024 5567530 7237789 7794542 11135060 14475578 15589084 19486355 22270120 28951156 31178168 36188945 38972710 50664523 57902312 72377890 77945420 101329046 144755780 155890840 176490701 202658092 253322615 289511560 352981402 405316184 506645230 705962804 882453505 1013290460 1235434907 1411925608 1764907010 2026580920 2294379113 2470869814 3529814020 4588758226 4941739628 6177174535 7059628040 9177516452 9883479256 11471895565 12354349070 16060653791 18355032904 22943791130 24708698140 32121307582 45887582260 49417396280 64242615164 80303268955 91775164520 128485230328 160606537910 321213075820 642426151640