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74451379328 = 278920293221
BaseRepresentation
bin100010101010110100…
…1011110010010000000
321010011122101221100122
41011111221132102000
52204434023114303
654111423235412
75243655165644
oct1052551362200
9233148357318
1074451379328
1129635954267
1212519748b68
137036729811
143863ca6c24
151e0b2e7e38
hex1155a5e480

74451379328 has 64 divisors (see below), whose sum is σ = 150108147000. Its totient is φ = 36777861120.

The previous prime is 74451379309. The next prime is 74451379399. The reversal of 74451379328 is 82397315447.

It can be written as a sum of positive squares in 4 ways, for example, as 74118973504 + 332405824 = 272248^2 + 18232^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 74451379328.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23112758 + ... + 23115978.

Almost surely, 274451379328 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 74451379328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75054073500).

74451379328 is an abundant number, since it is smaller than the sum of its proper divisors (75656767672).

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

74451379328 is a wasteful number, since it uses less digits than its factorization.

74451379328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5353 (or 5341 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 53.

The spelling of 74451379328 in words is "seventy-four billion, four hundred fifty-one million, three hundred seventy-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 89 128 178 356 712 1424 2029 2848 3221 4058 5696 6442 8116 11392 12884 16232 25768 32464 51536 64928 103072 129856 180581 206144 259712 286669 361162 412288 573338 722324 1146676 1444648 2293352 2889296 4586704 5778592 6535409 9173408 11557184 13070818 18346816 23114368 26141636 36693632 52283272 104566544 209133088 418266176 581651401 836532352 1163302802 2326605604 4653211208 9306422416 18612844832 37225689664 74451379328