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42578668008 = 23374994877
BaseRepresentation
bin100111101001111000…
…101110100111101000
311001220101021110000000
4213221320232213220
51144200114334013
631321012343000
73035065464222
oct475170564750
9131811243000
1042578668008
111706a603528
128303614a60
134027396a16
1420bcc59412
1511930a1973
hex9e9e2e9e8

42578668008 has 128 divisors (see below), whose sum is σ = 119998800000. Its totient is φ = 14161542336.

The previous prime is 42578667991. The next prime is 42578668019. The reversal of 42578668008 is 80086687524.

42578668008 is a `hidden beast` number, since 4 + 2 + 578 + 6 + 68 + 0 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 8728066 + ... + 8732942.

It is an arithmetic number, because the mean of its divisors is an integer number (937490625).

Almost surely, 242578668008 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 42578668008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59999400000).

42578668008 is an abundant number, since it is smaller than the sum of its proper divisors (77420131992).

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

42578668008 is an equidigital number, since it uses as much as digits as its factorization.

42578668008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5403 (or 5381 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 42578668008 in words is "forty-two billion, five hundred seventy-eight million, six hundred sixty-eight thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 499 648 729 972 998 1458 1497 1944 1996 2187 2916 2994 3992 4374 4491 4877 5832 5988 8748 8982 9754 11976 13473 14631 17496 17964 19508 26946 29262 35928 39016 40419 43893 53892 58524 80838 87786 107784 117048 121257 131679 161676 175572 242514 263358 323352 351144 363771 395037 485028 526716 727542 790074 970056 1053432 1091313 1185111 1455084 1580148 2182626 2370222 2433623 2910168 3160296 3555333 4365252 4740444 4867246 7110666 7300869 8730504 9480888 9734492 10665999 14221332 14601738 19468984 21331998 21902607 28442664 29203476 42663996 43805214 58406952 65707821 85327992 87610428 131415642 175220856 197123463 262831284 394246926 525662568 591370389 788493852 1182740778 1576987704 1774111167 2365481556 3548222334 4730963112 5322333501 7096444668 10644667002 14192889336 21289334004 42578668008