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95229418816 = 2673123329429
BaseRepresentation
bin101100010110000011…
…1011001110101000000
3100002210200221201010201
41120230013121311000
53030012212400231
6111425304534544
76610605463360
oct1305407316500
9302720851121
1095229418816
1137428584924
1216558181454
138c9836873c
14487563c9a0
1527254ee161
hex162c1d9d40

95229418816 has 112 divisors (see below), whose sum is σ = 223897789440. Its totient is φ = 39325224960.

The previous prime is 95229418783. The next prime is 95229418819. The reversal of 95229418816 is 61881492259.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95229418819) 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, 3221190 + ... + 3250618.

Almost surely, 295229418816 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 95229418816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111948894720).

95229418816 is an abundant number, since it is smaller than the sum of its proper divisors (128668370624).

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

95229418816 is a wasteful number, since it uses less digits than its factorization.

95229418816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29712 (or 29702 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 55.

The spelling of 95229418816 in words is "ninety-five billion, two hundred twenty-nine million, four hundred eighteen thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 233 248 434 448 466 496 868 932 992 1631 1736 1864 1984 3262 3472 3728 6524 6944 7223 7456 13048 13888 14446 14912 26096 28892 29429 50561 52192 57784 58858 101122 104384 115568 117716 202244 206003 231136 235432 404488 412006 462272 470864 808976 824012 912299 941728 1617952 1648024 1824598 1883456 3235904 3296048 3649196 6386093 6592096 6856957 7298392 12772186 13184192 13713914 14596784 25544372 27427828 29193568 47998699 51088744 54855656 58387136 95997398 102177488 109711312 191994796 204354976 212565667 219422624 383989592 408709952 425131334 438845248 767979184 850262668 1487959669 1535958368 1700525336 2975919338 3071916736 3401050672 5951838676 6802101344 11903677352 13604202688 23807354704 47614709408 95229418816