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424656607872 = 2737473361327
BaseRepresentation
bin1100010110111111000…
…00011001101010000000
31111121010001022211100210
412023133200121222000
523424144042422442
6523030132514120
742452246416110
oct6133740315200
91447101284323
10424656607872
11154106647882
126a37477b940
1331077993243
14167a6abd040
15b0a638a19c
hex62df819a80

424656607872 has 128 divisors (see below), whose sum is σ = 1316564951040. Its totient is φ = 118748924928.

The previous prime is 424656607847. The next prime is 424656607889. The reversal of 424656607872 is 278706656424.

It is a tau number, because it is divible by the number of its divisors (128).

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, 1554328 + ... + 1806999.

It is an arithmetic number, because the mean of its divisors is an integer number (10285663680).

Almost surely, 2424656607872 is an apocalyptic number.

424656607872 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

424656607872 is an abundant number, since it is smaller than the sum of its proper divisors (891908343168).

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

424656607872 is a wasteful number, since it uses less digits than its factorization.

424656607872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3361398 (or 3361386 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 57.

The spelling of 424656607872 in words is "four hundred twenty-four billion, six hundred fifty-six million, six hundred seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 94 96 112 128 141 168 188 192 224 282 329 336 376 384 448 564 658 672 752 896 987 1128 1316 1344 1504 1974 2256 2632 2688 3008 3948 4512 5264 6016 7896 9024 10528 15792 18048 21056 31584 42112 63168 126336 3361327 6722654 10083981 13445308 20167962 23529289 26890616 40335924 47058578 53781232 70587867 80671848 94117156 107562464 141175734 157982369 161343696 188234312 215124928 282351468 315964738 322687392 376468624 430249856 473947107 564702936 631929476 645374784 752937248 947894214 1105876583 1129405872 1263858952 1290749568 1505874496 1895788428 2211753166 2258811744 2527717904 3011748992 3317629749 3791576856 4423506332 4517623488 5055435808 6635259498 7583153712 8847012664 9035246976 10110871616 13270518996 15166307424 17694025328 20221743232 26541037992 30332614848 35388050656 53082075984 60665229696 70776101312 106164151968 141552202624 212328303936 424656607872