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46246446240 = 253596346763
BaseRepresentation
bin101011000100100000…
…001100010010100000
311102100222211212212020
4223010200030102200
51224203042234430
633124553501440
73225013210221
oct530440142240
9142328755766
1046246446240
1118681a05605
128b67a11880
1344902182b7
14234a00d248
15130a0a0b10
hexac480c4a0

46246446240 has 48 divisors (see below), whose sum is σ = 145676307168. Its totient is φ = 12332385536.

The previous prime is 46246446209. The next prime is 46246446271. The reversal of 46246446240 is 4264464264.

It is an interprime number because it is at equal distance from previous prime (46246446209) and next prime (46246446271).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 46246446192 and 46246446201.

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 7 ways as a sum of consecutive naturals, for example, 48172902 + ... + 48173861.

It is an arithmetic number, because the mean of its divisors is an integer number (3034923066).

Almost surely, 246246446240 is an apocalyptic number.

46246446240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46246446240 is an abundant number, since it is smaller than the sum of its proper divisors (99429860928).

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

46246446240 is a wasteful number, since it uses less digits than its factorization.

46246446240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96346781 (or 96346773 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 42.

The spelling of 46246446240 in words is "forty-six billion, two hundred forty-six million, four hundred forty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 96346763 192693526 289040289 385387052 481733815 578080578 770774104 963467630 1156161156 1445201445 1541548208 1926935260 2312322312 2890402890 3083096416 3853870520 4624644624 5780805780 7707741040 9249289248 11561611560 15415482080 23123223120 46246446240