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1099875428952 = 2332353222116927
BaseRepresentation
bin10000000000010101101…
…011110010101001011000
310220010222012122220101020
4100000111223302221120
5121010021102211302
62201135323322440
7142314636614436
oct20002553625130
93803865586336
101099875428952
11394500007a13
121591b6080420
137c9440408b1
143b33cb1bd56
151d924a95ebc
hex10015af2a58

1099875428952 has 128 divisors (see below), whose sum is σ = 2924865884160. Its totient is φ = 343892989440.

The previous prime is 1099875428933. The next prime is 1099875428963. The reversal of 1099875428952 is 2598245789901.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64969113 + ... + 64986039.

It is an arithmetic number, because the mean of its divisors is an integer number (22850514720).

Almost surely, 21099875428952 is an apocalyptic number.

1099875428952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1099875428952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462432942080).

1099875428952 is an abundant number, since it is smaller than the sum of its proper divisors (1824990455208).

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

1099875428952 is a wasteful number, since it uses less digits than its factorization.

1099875428952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19233 (or 19229 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 69.

The spelling of 1099875428952 in words is "one trillion, ninety-nine billion, eight hundred seventy-five million, four hundred twenty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 53 69 92 106 138 159 184 212 276 318 424 552 636 1219 1272 2221 2438 3657 4442 4876 6663 7314 8884 9752 13326 14628 16927 17768 26652 29256 33854 50781 51083 53304 67708 101562 102166 117713 135416 153249 203124 204332 235426 306498 353139 389321 406248 408664 470852 612996 706278 778642 897131 941704 1167963 1225992 1412556 1557284 1794262 2335926 2691393 2707399 2825112 3114568 3588524 4671852 5382786 5414798 7177048 8122197 9343704 10765572 10829596 16244394 20634013 21531144 21659192 32488788 37594867 41268026 61902039 64977576 75189734 82536052 112784601 123804078 150379468 165072104 225569202 247608156 300758936 451138404 495216312 864681941 902276808 1729363882 1992527951 2594045823 3458727764 3985055902 5188091646 5977583853 6917455528 7970111804 10376183292 11955167706 15940223608 20752366584 23910335412 45828142873 47820670824 91656285746 137484428619 183312571492 274968857238 366625142984 549937714476 1099875428952