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642234367424 = 26134129716337
BaseRepresentation
bin10010101100010000010…
…01101011110111000000
32021101201102021012212202
421112020021223313000
541010243444224144
61211012143212332
764254111023366
oct11261011536700
92241642235782
10642234367424
11228408614991
12a4576ba70a8
13487408b5270
14231274b7636
1511a8caae64e
hex958826bdc0

642234367424 has 112 divisors (see below), whose sum is σ = 1406637162336. Its totient is φ = 289043251200.

The previous prime is 642234367403. The next prime is 642234367469. The reversal of 642234367424 is 424763432246.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 101343584 + ... + 101349920.

It is an arithmetic number, because the mean of its divisors is an integer number (12559260378).

Almost surely, 2642234367424 is an apocalyptic number.

642234367424 is a gapful number since it is divisible by the number (64) 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 642234367424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703318581168).

642234367424 is an abundant number, since it is smaller than the sum of its proper divisors (764402794912).

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

642234367424 is a wasteful number, since it uses less digits than its factorization.

642234367424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9374 (or 9364 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 47.

The spelling of 642234367424 in words is "six hundred forty-two billion, two hundred thirty-four million, three hundred sixty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 164 208 328 416 533 656 832 1066 1312 2132 2624 2971 4264 5942 6337 8528 11884 12674 17056 23768 25348 34112 38623 47536 50696 77246 82381 95072 101392 121811 154492 164762 190144 202784 243622 259817 308984 329524 405568 487244 519634 617968 659048 974488 1039268 1235936 1318096 1583543 1948976 2078536 2471872 2636192 3167086 3377621 3897952 4157072 5272384 6334172 6755242 7795904 8314144 12668344 13510484 16628288 18827227 25336688 27020968 37654454 50673376 54041936 75308908 101346752 108083872 150617816 216167744 244753951 301235632 489507902 602471264 771916307 979015804 1204942528 1543832614 1958031608 3087665228 3916063216 6175330456 7832126432 10034911991 12350660912 15664252864 20069823982 24701321824 40139647964 49402643648 80279295928 160558591856 321117183712 642234367424