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42630599503624 = 23114736728085027
BaseRepresentation
bin10011011000101101101011…
…01111010110111100001000
312120221110000202222202111211
421230112311233112330020
521041424431433103444
6230400121013102504
711656646665636456
oct1154266557267410
9176843022882454
1042630599503624
1112646599051420
124946119627a34
131aa30821050a2
14a754911119d6
154dddbe111c34
hex26c5b5bd6f08

42630599503624 has 64 divisors (see below), whose sum is σ = 89296908226560. Its totient is φ = 18913579909440.

The previous prime is 42630599503621. The next prime is 42630599503717.

42630599503624 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (42630599503621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12524602 + ... + 15560425.

It is an arithmetic number, because the mean of its divisors is an integer number (1395264191040).

Almost surely, 242630599503624 is an apocalyptic number.

42630599503624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42630599503624 is an abundant number, since it is smaller than the sum of its proper divisors (46666308722936).

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

42630599503624 is a wasteful number, since it uses less digits than its factorization.

42630599503624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28085458 (or 28085454 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 58.

The spelling of 42630599503624 in words is "forty-two trillion, six hundred thirty billion, five hundred ninety-nine million, five hundred three thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 47 88 94 188 367 376 517 734 1034 1468 2068 2936 4037 4136 8074 16148 17249 32296 34498 68996 137992 189739 379478 758956 1517912 28085027 56170054 112340108 224680216 308935297 617870594 1235741188 1319996269 2471482376 2639992538 5279985076 10307204909 10559970152 14519958959 20614409818 29039917918 41228819636 58079835836 82457639272 113379253999 116159671672 226758507998 453517015996 484438630723 907034031992 968877261446 1937754522892 3875509045784 5328824937953 10657649875906 21315299751812 42630599503624