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42948009012 = 223291013113929
BaseRepresentation
bin100111111111111001…
…101001110000110100
311002212010020220121110
4213333321221300310
51200424142242022
631421404515020
73050202024156
oct477771516064
9132763226543
1042948009012
111723a038927
1283a724ba70
134085a623ac
142115d1cad6
1511b570b00c
hex9ffe69c34

42948009012 has 96 divisors (see below), whose sum is σ = 105057388800. Its totient is φ = 13638016000.

The previous prime is 42948008993. The next prime is 42948009023. The reversal of 42948009012 is 21090084924.

It is a super-2 number, since 2×429480090122 (a number of 22 digits) contains 22 as substring.

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, 10929064 + ... + 10932992.

It is an arithmetic number, because the mean of its divisors is an integer number (1094347800).

Almost surely, 242948009012 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 42948009012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52528694400).

42948009012 is an abundant number, since it is smaller than the sum of its proper divisors (62109379788).

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

42948009012 is a wasteful number, since it uses less digits than its factorization.

42948009012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4377 (or 4375 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 42948009012 in words is "forty-two billion, nine hundred forty-eight million, nine thousand, twelve".

Divisors: 1 2 3 4 6 12 29 58 87 101 116 174 202 303 311 348 404 606 622 933 1212 1244 1866 2929 3732 3929 5858 7858 8787 9019 11716 11787 15716 17574 18038 23574 27057 31411 35148 36076 47148 54114 62822 94233 108228 113941 125644 188466 227882 341823 376932 396829 455764 683646 793658 910919 1190487 1221919 1367292 1587316 1821838 2380974 2443838 2732757 3643676 3665757 4761948 4887676 5465514 7331514 10931028 11508041 14663028 23016082 34524123 35435651 46032164 69048246 70871302 106306953 123413819 138096492 141742604 212613906 246827638 370241457 425227812 493655276 740482914 1480965828 3579000751 7158001502 10737002253 14316003004 21474004506 42948009012