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42969260576 = 2511230233671
BaseRepresentation
bin101000000001001010…
…101110001000100000
311002220121020121021102
4220001022232020200
51201000112314301
631423444213532
73050550455114
oct500112561040
9132817217242
1042969260576
1117250033500
1283b239a2a8
13408a293398
142118a91744
1511b7507b6b
hexa012ae220

42969260576 has 72 divisors (see below), whose sum is σ = 93041488512. Its totient is φ = 19519702400.

The previous prime is 42969260497. The next prime is 42969260591. The reversal of 42969260576 is 67506296924.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11703221 + ... + 11706891.

It is an arithmetic number, because the mean of its divisors is an integer number (1292242896).

Almost surely, 242969260576 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 42969260576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46520744256).

42969260576 is an abundant number, since it is smaller than the sum of its proper divisors (50072227936).

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

42969260576 is a wasteful number, since it uses less digits than its factorization.

42969260576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6726 (or 6707 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 56.

The spelling of 42969260576 in words is "forty-two billion, nine hundred sixty-nine million, two hundred sixty thousand, five hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3023 3671 3872 6046 7342 12092 14684 24184 29368 33253 40381 48368 58736 66506 80762 96736 117472 133012 161524 266024 323048 365783 444191 532048 646096 731566 888382 1064096 1292192 1463132 1776764 2926264 3553528 5852528 7107056 11097433 11705056 14214112 22194866 44389732 88779464 122071763 177558928 244143526 355117856 488287052 976574104 1342789393 1953148208 2685578786 3906296416 5371157572 10742315144 21484630288 42969260576