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73400740736 = 274789137089
BaseRepresentation
bin100010001011100000…
…1100110101110000000
321000110102102222011012
41010113001212232000
52200311042200421
653415252340052
75205640000451
oct1042701465600
9230412388135
1073400740736
1129146893a04
1212285914628
136bc9b6c68b
1437a4537128
151d98e6295b
hex1117066b80

73400740736 has 64 divisors (see below), whose sum is σ = 151018344000. Its totient is φ = 35515662336.

The previous prime is 73400740733. The next prime is 73400740793. The reversal of 73400740736 is 63704700437.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 73400740693 and 73400740702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73400740733) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 466880 + ... + 603968.

It is an arithmetic number, because the mean of its divisors is an integer number (2359661625).

Almost surely, 273400740736 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 73400740736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75509172000).

73400740736 is an abundant number, since it is smaller than the sum of its proper divisors (77617603264).

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

73400740736 is a wasteful number, since it uses less digits than its factorization.

73400740736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137239 (or 137227 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 41.

The spelling of 73400740736 in words is "seventy-three billion, four hundred million, seven hundred forty thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 47 64 89 94 128 178 188 356 376 712 752 1424 1504 2848 3008 4183 5696 6016 8366 11392 16732 33464 66928 133856 137089 267712 274178 535424 548356 1096712 2193424 4386848 6443183 8773696 12200921 12886366 17547392 24401842 25772732 48803684 51545464 97607368 103090928 195214736 206181856 390429472 412363712 573443287 780858944 824727424 1146886574 1561717888 2293773148 4587546296 9175092592 18350185184 36700370368 73400740736