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46243436040 = 23325177556117
BaseRepresentation
bin101011000100010100…
…101101011000001000
311102100210011221122100
4223010110231120020
51224201304423130
633124405153400
73224645502144
oct530424553010
9142323157570
1046243436040
1118680239a3a
128b669bb860
13448c703109
142349868224
151309ba8c60
hexac452d608

46243436040 has 96 divisors (see below), whose sum is σ = 159131845080. Its totient is φ = 11606194176.

The previous prime is 46243436027. The next prime is 46243436053. The reversal of 46243436040 is 4063434264.

46243436040 is a `hidden beast` number, since 4 + 6 + 2 + 4 + 3 + 43 + 604 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (46243436027) and next prime (46243436053).

It can be written as a sum of positive squares in 4 ways, for example, as 35014642884 + 11228793156 = 187122^2 + 105966^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 46243435986 and 46243436004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3771939 + ... + 3784178.

Almost surely, 246243436040 is an apocalyptic number.

46243436040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46243436040 is an abundant number, since it is smaller than the sum of its proper divisors (112888409040).

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

46243436040 is a wasteful number, since it uses less digits than its factorization.

46243436040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7556151 (or 7556144 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 46243436040 in words is "forty-six billion, two hundred forty-three million, four hundred thirty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 7556117 15112234 22668351 30224468 37780585 45336702 60448936 68005053 75561170 90673404 113341755 128453989 136010106 151122340 181346808 226683510 256907978 272020212 302244680 340025265 385361967 453367020 513815956 544040424 642269945 680050530 770723934 906734040 1027631912 1156085901 1284539890 1360101060 1541447868 1926809835 2312171802 2569079780 2720202120 3082895736 3853619670 4624343604 5138159560 5780429505 7707239340 9248687208 11560859010 15414478680 23121718020 46243436040