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74067334007328 = 2533191344812379
BaseRepresentation
bin10000110101110100100101…
…001000100000101000100000
3100201020202201212010110012000
4100311310211020200220200
534202004400001213303
6421310021415004000
721413121404201334
oct2065644510405040
9321222655113160
1074067334007328
1121666864130032
1283828b4369600
13324369a80c30c
141440c416bb7c4
158869dbee7da3
hex435d25220a20

74067334007328 has 96 divisors (see below), whose sum is σ = 216142656206400. Its totient is φ = 24676204819968.

The previous prime is 74067334007321. The next prime is 74067334007341. The reversal of 74067334007328 is 82370043376047.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (74067334007321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20753358 + ... + 24059021.

It is an arithmetic number, because the mean of its divisors is an integer number (2251486002150).

Almost surely, 274067334007328 is an apocalyptic number.

It is an amenable number.

74067334007328 is an abundant number, since it is smaller than the sum of its proper divisors (142075322199072).

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

74067334007328 is a wasteful number, since it uses less digits than its factorization.

74067334007328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44814311 (or 44814297 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 54.

The spelling of 74067334007328 in words is "seventy-four trillion, sixty-seven billion, three hundred thirty-four million, seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1913 3826 5739 7652 11478 15304 17217 22956 30608 34434 45912 51651 61216 68868 91824 103302 137736 183648 206604 275472 413208 550944 826416 1652832 44812379 89624758 134437137 179249516 268874274 358499032 403311411 537748548 716998064 806622822 1075497096 1209934233 1433996128 1613245644 2150994192 2419868466 3226491288 4301988384 4839736932 6452982576 9679473864 12905965152 19358947728 38717895456 85726081027 171452162054 257178243081 342904324108 514356486162 685808648216 771534729243 1028712972324 1371617296432 1543069458486 2057425944648 2314604187729 2743234592864 3086138916972 4114851889296 4629208375458 6172277833944 8229703778592 9258416750916 12344555667888 18516833501832 24689111335776 37033667003664 74067334007328