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46245680112 = 24323144728949
BaseRepresentation
bin101011000100011101…
…010001001111110000
311102100221101221221010
4223010131101033300
51224202343230422
633124525230520
73225003536502
oct530435211760
9142327357833
1046245680112
1118681531a45
128b67702440
13449000a678
142349c8dd72
151309e9db0c
hexac47513f0

46245680112 has 80 divisors (see below), whose sum is σ = 124752729600. Its totient is φ = 14734300416.

The previous prime is 46245680099. The next prime is 46245680137. The reversal of 46245680112 is 21108654264.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1583014 + ... + 1611962.

It is an arithmetic number, because the mean of its divisors is an integer number (1559409120).

Almost surely, 246245680112 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 46245680112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62376364800).

46245680112 is an abundant number, since it is smaller than the sum of its proper divisors (78507049488).

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

46245680112 is a wasteful number, since it uses less digits than its factorization.

46245680112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30430 (or 30424 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 46245680112 in words is "forty-six billion, two hundred forty-five million, six hundred eighty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 1447 2894 4341 5788 8682 11576 17364 23152 28949 33281 34728 57898 66562 69456 86847 99843 115796 133124 173694 199686 231592 266248 347388 399372 463184 532496 665827 694776 798744 1331654 1389552 1597488 1997481 2663308 3994962 5326616 7989924 10653232 15979848 31959696 41889203 83778406 125667609 167556812 251335218 335113624 502670436 670227248 963451669 1005340872 1926903338 2010681744 2890355007 3853806676 5780710014 7707613352 11561420028 15415226704 23122840056 46245680112