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98892106432 = 2671127919571
BaseRepresentation
bin101110000011001101…
…1011100101011000000
3100110020221221111222121
41130012123130223000
53110012334401212
6113232545014024
710100432015050
oct1340633345300
9313227844877
1098892106432
1138a3801a289
12171ba924314
139430126c12
144b01c69560
15288bd44d07
hex17066dcac0

98892106432 has 56 divisors (see below), whose sum is σ = 224304514560. Its totient is φ = 42376408320.

The previous prime is 98892106403. The next prime is 98892106483. The reversal of 98892106432 is 23460129889.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 98892106432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5043207 + ... + 5062777.

It is an arithmetic number, because the mean of its divisors is an integer number (4005437760).

Almost surely, 298892106432 is an apocalyptic number.

It is an amenable number.

98892106432 is an abundant number, since it is smaller than the sum of its proper divisors (125412408128).

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

98892106432 is a wasteful number, since it uses less digits than its factorization.

98892106432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30869 (or 30859 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 52.

The spelling of 98892106432 in words is "ninety-eight billion, eight hundred ninety-two million, one hundred six thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 11279 19571 22558 39142 45116 78284 78953 90232 136997 156568 157906 180464 273994 313136 315812 360928 547988 626272 631624 721856 1095976 1252544 1263248 2191952 2526496 4383904 5052992 8767808 220741309 441482618 882965236 1545189163 1765930472 3090378326 3531860944 6180756652 7063721888 12361513304 14127443776 24723026608 49446053216 98892106432