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102147365888 = 2101941128053
BaseRepresentation
bin101111100100001110…
…1010001110000000000
3100202122211021211110122
41133020131101300000
53133144211202023
6114531552315412
710244210166311
oct1371035216000
9322584254418
10102147365888
113a358585957
1217968b42b68
13982b672a49
144d3031a608
1529cca0b2c8
hex17c8751c00

102147365888 has 88 divisors (see below), whose sum is σ = 220186291920. Its totient is φ = 47205089280.

The previous prime is 102147365863. The next prime is 102147365893. The reversal of 102147365888 is 888563741201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 733670 + ... + 861722.

Almost surely, 2102147365888 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 102147365888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110093145960).

102147365888 is an abundant number, since it is smaller than the sum of its proper divisors (118038926032).

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

102147365888 is a wasteful number, since it uses less digits than its factorization.

102147365888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128133 (or 128115 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 53.

The spelling of 102147365888 in words is "one hundred two billion, one hundred forty-seven million, three hundred sixty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 19 32 38 41 64 76 82 128 152 164 256 304 328 512 608 656 779 1024 1216 1312 1558 2432 2624 3116 4864 5248 6232 9728 10496 12464 19456 20992 24928 41984 49856 99712 128053 199424 256106 398848 512212 797696 1024424 2048848 2433007 4097696 4866014 5250173 8195392 9732028 10500346 16390784 19464056 21000692 32781568 38928112 42001384 65563136 77856224 84002768 99753287 131126272 155712448 168005536 199506574 311424896 336011072 399013148 622849792 672022144 798026296 1245699584 1344044288 1596052592 2491399168 2688088576 3192105184 5376177152 6384210368 12768420736 25536841472 51073682944 102147365888