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46602223616 = 21513313529
BaseRepresentation
bin101011011001101101…
…011000000000000000
311110021210022020200002
4223121231120000000
51230420132123431
633224143215132
73236563236104
oct533155300000
9143253266602
1046602223616
11188448163a3
129046ba74a8
134518b45060
142381381904
15132b42b3cb
hexad9b58000

46602223616 has 128 divisors (see below), whose sum is σ = 103639670400. Its totient is φ = 20808990720.

The previous prime is 46602223601. The next prime is 46602223627. The reversal of 46602223616 is 61632220664.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 46602223616.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13203740 + ... + 13207268.

It is an arithmetic number, because the mean of its divisors is an integer number (809684925).

Almost surely, 246602223616 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 46602223616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51819835200).

46602223616 is an abundant number, since it is smaller than the sum of its proper divisors (57037446784).

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

46602223616 is an equidigital number, since it uses as much as digits as its factorization.

46602223616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3603 (or 3575 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 38.

The spelling of 46602223616 in words is "forty-six billion, six hundred two million, two hundred twenty-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 403 416 496 512 806 832 992 1024 1612 1664 1984 2048 3224 3328 3529 3968 4096 6448 6656 7058 7936 8192 12896 13312 14116 15872 16384 25792 26624 28232 31744 32768 45877 51584 53248 56464 63488 91754 103168 106496 109399 112928 126976 183508 206336 212992 218798 225856 253952 367016 412672 425984 437596 451712 507904 734032 825344 875192 903424 1015808 1422187 1468064 1650688 1750384 1806848 2844374 2936128 3301376 3500768 3613696 5688748 5872256 6602752 7001536 7227392 11377496 11744512 13205504 14003072 14454784 22754992 23489024 28006144 28909568 45509984 46978048 56012288 57819136 91019968 93956096 112024576 115638272 182039936 187912192 224049152 364079872 375824384 448098304 728159744 751648768 896196608 1456319488 1503297536 1792393216 2912638976 3584786432 5825277952 11650555904 23301111808 46602223616