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56632427640 = 2333573718321
BaseRepresentation
bin110100101111100011…
…100100010001111000
312102011210220101221000
4310233203210101320
51411440400141030
642003325245000
74043255456325
oct645743442170
9172153811830
1056632427640
1122021590108
12ab86103760
135456b79319
142a53527b4c
151716ca3860
hexd2f8e4478

56632427640 has 128 divisors (see below), whose sum is σ = 191360980800. Its totient is φ = 14895083520.

The previous prime is 56632427639. The next prime is 56632427651. The reversal of 56632427640 is 4672423665.

56632427640 is a `hidden beast` number, since 5 + 6 + 632 + 4 + 2 + 7 + 6 + 4 + 0 = 666.

56632427640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 280321 + ... + 438000.

Almost surely, 256632427640 is an apocalyptic number.

It is an amenable number.

56632427640 is an abundant number, since it is smaller than the sum of its proper divisors (134728553160).

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

56632427640 is a wasteful number, since it uses less digits than its factorization.

56632427640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718414 (or 718404 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 56632427640 in words is "fifty-six billion, six hundred thirty-two million, four hundred twenty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 73 90 108 120 135 146 180 216 219 270 292 360 365 438 540 584 657 730 876 1080 1095 1314 1460 1752 1971 2190 2628 2920 3285 3942 4380 5256 6570 7884 8760 9855 13140 15768 19710 26280 39420 78840 718321 1436642 2154963 2873284 3591605 4309926 5746568 6464889 7183210 8619852 10774815 12929778 14366420 17239704 19394667 21549630 25859556 28732840 32324445 38789334 43099260 51719112 52437433 64648890 77578668 86198520 96973335 104874866 129297780 155157336 157312299 193946670 209749732 258595560 262187165 314624598 387893340 419499464 471936897 524374330 629249196 775786680 786561495 943873794 1048748660 1258498392 1415810691 1573122990 1887747588 2097497320 2359684485 2831621382 3146245980 3775495176 4719368970 5663242764 6292491960 7079053455 9438737940 11326485528 14158106910 18877475880 28316213820 56632427640