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75231910848 = 2635320033691
BaseRepresentation
bin100011000010000101…
…0111101101111000000
321012012001010001022110
41012010022331233000
52213033332121343
654321104535320
75302213456023
oct1060412755700
9235161101273
1075231910848
11299a64a8136
12126b7021540
13712c3541a3
1438d98051ba
151e54ac6833
hex11842bdbc0

75231910848 has 112 divisors (see below), whose sum is σ = 202963003776. Its totient is φ = 24585200640.

The previous prime is 75231910829. The next prime is 75231910849. The reversal of 75231910848 is 84801913257.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 75231910797 and 75231910806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75231910849) 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, 20380683 + ... + 20384373.

Almost surely, 275231910848 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 75231910848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101481501888).

75231910848 is an abundant number, since it is smaller than the sum of its proper divisors (127731092928).

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

75231910848 is a wasteful number, since it uses less digits than its factorization.

75231910848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5762 (or 5752 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 75231910848 in words is "seventy-five billion, two hundred thirty-one million, nine hundred ten thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 212 318 424 636 848 1272 1696 2003 2544 3392 3691 4006 5088 6009 7382 8012 10176 11073 12018 14764 16024 22146 24036 29528 32048 44292 48072 59056 64096 88584 96144 106159 118112 128192 177168 192288 195623 212318 236224 318477 354336 384576 391246 424636 586869 636954 708672 782492 849272 1173738 1273908 1564984 1698544 2347476 2547816 3129968 3397088 4694952 5095632 6259936 6794176 7393073 9389904 10191264 12519872 14786146 18779808 20382528 22179219 29572292 37559616 44358438 59144584 88716876 118289168 177433752 236578336 354867504 391832869 473156672 709735008 783665738 1175498607 1419470016 1567331476 2350997214 3134662952 4701994428 6269325904 9403988856 12538651808 18807977712 25077303616 37615955424 75231910848