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73040349060 = 223257471233373
BaseRepresentation
bin100010000000110001…
…0110100011110000100
320222112022022011201100
41010001202310132010
52144041312132220
653315420100100
75164002503040
oct1040142643604
9228468264640
1073040349060
1128a81411348
12121a5094630
136b702b8573
14376c723020
151d774c4d90
hex11018b4784

73040349060 has 144 divisors (see below), whose sum is σ = 258594126336. Its totient is φ = 16339712256.

The previous prime is 73040349047. The next prime is 73040349077. The reversal of 73040349060 is 6094304037.

73040349060 is a `hidden beast` number, since 7 + 304 + 0 + 349 + 0 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557467 + ... + 675906.

It is an arithmetic number, because the mean of its divisors is an integer number (1795792544).

Almost surely, 273040349060 is an apocalyptic number.

73040349060 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

73040349060 is an abundant number, since it is smaller than the sum of its proper divisors (185553777276).

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

73040349060 is a wasteful number, since it uses less digits than its factorization.

73040349060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233442 (or 1233437 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 73040349060 in words is "seventy-three billion, forty million, three hundred forty-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 47 60 63 70 84 90 94 105 126 140 141 180 188 210 235 252 282 315 329 420 423 470 564 630 658 705 846 940 987 1260 1316 1410 1645 1692 1974 2115 2820 2961 3290 3948 4230 4935 5922 6580 8460 9870 11844 14805 19740 29610 59220 1233373 2466746 3700119 4933492 6166865 7400238 8633611 11100357 12333730 14800476 17267222 18500595 22200714 24667460 25900833 34534444 37001190 43168055 44401428 51801666 55501785 57968531 74002380 77702499 86336110 103603332 111003570 115937062 129504165 155404998 172672220 173905593 222007140 231874124 259008330 289842655 310809996 347811186 388512495 405779717 518016660 521716779 579685310 695622372 777024990 811559434 869527965 1043433558 1159370620 1217339151 1554049980 1623118868 1739055930 2028898585 2086867116 2434678302 2608583895 3478111860 3652017453 4057797170 4869356604 5217167790 6086695755 7304034906 8115594340 10434335580 12173391510 14608069812 18260087265 24346783020 36520174530 73040349060