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46006045540 = 22571389284023
BaseRepresentation
bin101010110110001011…
…001000101101100100
311101202020111021002121
4222312023020231210
51223210021424130
633045045115324
73216033635440
oct526613105544
9141666437077
1046006045540
1118569238a44
128abb3b8b44
134452486c70
142326111820
1512e3e15d7a
hexab62c8b64

46006045540 has 96 divisors (see below), whose sum is σ = 120244400640. Its totient is φ = 14396507136.

The previous prime is 46006045537. The next prime is 46006045543. The reversal of 46006045540 is 4554060064.

It is an interprime number because it is at equal distance from previous prime (46006045537) and next prime (46006045543).

It is a junction number, because it is equal to n+sod(n) for n = 46006045496 and 46006045505.

It is not an unprimeable number, because it can be changed into a prime (46006045543) by changing a digit.

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, 19969 + ... + 303991.

It is an arithmetic number, because the mean of its divisors is an integer number (1252545840).

Almost surely, 246006045540 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 46006045540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60122200320).

46006045540 is an abundant number, since it is smaller than the sum of its proper divisors (74238355100).

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

46006045540 is a wasteful number, since it uses less digits than its factorization.

46006045540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284141 (or 284139 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 46006045540 in words is "forty-six billion, six million, forty-five thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 89 91 130 140 178 182 260 356 364 445 455 623 890 910 1157 1246 1780 1820 2314 2492 3115 4628 5785 6230 8099 11570 12460 16198 23140 32396 40495 80990 161980 284023 568046 1136092 1420115 1988161 2840230 3692299 3976322 5680460 7384598 7952644 9940805 14769196 18461495 19881610 25278047 25846093 36922990 39763220 50556094 51692186 73845980 101112188 103384372 126390235 129230465 176946329 252780470 258460930 328614611 353892658 505560940 516921860 657229222 707785316 884731645 1314458444 1643073055 1769463290 2300302277 3286146110 3538926580 4600604554 6572292220 9201209108 11501511385 23003022770 46006045540