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100040387728 = 2459589717971
BaseRepresentation
bin101110100101011011…
…1110010110010010000
3100120012222122020210111
41131022313302302100
53114340314401403
6113542524411104
710141044156661
oct1351267626220
9316188566714
10100040387728
1139477210a96
121747b3a6a94
139583cb08c8
144bb0575368
152907a6656d
hex174adf2c90

100040387728 has 40 divisors (see below), whose sum is σ = 197157872160. Its totient is φ = 49161319680.

The previous prime is 100040387723. The next prime is 100040387749. The reversal of 100040387728 is 827783040001.

It is not an unprimeable number, because it can be changed into a prime (100040387723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5557783 + ... + 5575753.

It is an arithmetic number, because the mean of its divisors is an integer number (4928946804).

Almost surely, 2100040387728 is an apocalyptic number.

It is an amenable number.

100040387728 is a deficient number, since it is larger than the sum of its proper divisors (97117484432).

100040387728 is a wasteful number, since it uses less digits than its factorization.

100040387728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23935 (or 23929 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The spelling of 100040387728 in words is "one hundred billion, forty million, three hundred eighty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 59 118 236 472 944 5897 11794 17971 23588 35942 47176 71884 94352 143768 287536 347923 695846 1060289 1391692 2120578 2783384 4241156 5566768 8482312 16964624 105974987 211949974 423899948 847799896 1695599792 6252524233 12505048466 25010096932 50020193864 100040387728