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75461223040 = 275722406289
BaseRepresentation
bin100011001000111010…
…1101110001010000000
321012210000121022111121
41012101311232022000
52214021033114130
654355535522024
75310666545500
oct1062165561200
9235700538447
1075461223040
112a003990845
121275b989314
137167a02388
14391c057a00
151e69cc0d7a
hex1191d6e280

75461223040 has 96 divisors (see below), whose sum is σ = 209852550900. Its totient is φ = 25872408576.

The previous prime is 75461223011. The next prime is 75461223059. The reversal of 75461223040 is 4032216457.

It can be written as a sum of positive squares in 2 ways, for example, as 65868195904 + 9593027136 = 256648^2 + 97944^2 .

It is a junction number, because it is equal to n+sod(n) for n = 75461222987 and 75461223005.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1171785 + ... + 1234504.

Almost surely, 275461223040 is an apocalyptic number.

75461223040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75461223040 is an abundant number, since it is smaller than the sum of its proper divisors (134391327860).

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

75461223040 is a wasteful number, since it uses less digits than its factorization.

75461223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406322 (or 2406303 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

Adding to 75461223040 its reverse (4032216457), we get a palindrome (79493439497).

The spelling of 75461223040 in words is "seventy-five billion, four hundred sixty-one million, two hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 280 320 392 448 490 560 640 784 896 980 1120 1568 1960 2240 3136 3920 4480 6272 7840 15680 31360 2406289 4812578 9625156 12031445 16844023 19250312 24062890 33688046 38500624 48125780 67376092 77001248 84220115 96251560 117908161 134752184 154002496 168440230 192503120 235816322 269504368 308004992 336880460 385006240 471632644 539008736 589540805 673760920 770012480 943265288 1078017472 1179081610 1347521840 1540024960 1886530576 2156034944 2358163220 2695043680 3773061152 4716326440 5390087360 7546122304 9432652880 10780174720 15092244608 18865305760 37730611520 75461223040