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46129130060 = 225131018772003
BaseRepresentation
bin101010111101100000…
…101010101001001100
311102001211002121022112
4222331200222221030
51223433024130220
633105203203152
73222060064436
oct527540525114
9142054077275
1046129130060
1118621767192
128b346764b8
134471b20b40
1423385d1656
1512eeb2a5c5
hexabd82aa4c

46129130060 has 96 divisors (see below), whose sum is σ = 105528491712. Its totient is φ = 16836019200.

The previous prime is 46129130059. The next prime is 46129130071. The reversal of 46129130060 is 6003192164.

It is a junction number, because it is equal to n+sod(n) for n = 46129129999 and 46129130026.

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 31 ways as a sum of consecutive naturals, for example, 23029019 + ... + 23031021.

It is an arithmetic number, because the mean of its divisors is an integer number (1099255122).

Almost surely, 246129130060 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 46129130060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52764245856).

46129130060 is an abundant number, since it is smaller than the sum of its proper divisors (59399361652).

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

46129130060 is a wasteful number, since it uses less digits than its factorization.

46129130060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 46129130060 in words is "forty-six billion, one hundred twenty-nine million, one hundred thirty thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 202 260 404 505 877 1010 1313 1754 2003 2020 2626 3508 4006 4385 5252 6565 8012 8770 10015 11401 13130 17540 20030 22802 26039 26260 40060 45604 52078 57005 88577 104156 114010 130195 177154 202303 228020 260390 354308 404606 442885 520780 809212 885770 1011515 1151501 1756631 1771540 2023030 2303002 2629939 3513262 4046060 4606004 5259878 5757505 7026524 8783155 10519756 11515010 13149695 17566310 22836203 23030020 26299390 35132620 45672406 52598780 91344812 114181015 177419731 228362030 354839462 456724060 709678924 887098655 1774197310 2306456503 3548394620 4612913006 9225826012 11532282515 23064565030 46129130060