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23027169280 = 21152977543
BaseRepresentation
bin10101011100100001…
…101011100000000000
32012102210200101211111
4111130201223200000
5334124423404110
614324544053104
71443430465213
oct253441534000
965383611744
1023027169280
119847267115
124567904194
13222c8b286b
14118636177a
158eb8c9e8a
hex55c86b800

23027169280 has 96 divisors (see below), whose sum is σ = 57157682400. Its totient is φ = 8893136896.

The previous prime is 23027169229. The next prime is 23027169283. The reversal of 23027169280 is 8296172032.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23027169283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258189 + ... + 335731.

It is an arithmetic number, because the mean of its divisors is an integer number (595392525).

Almost surely, 223027169280 is an apocalyptic number.

23027169280 is a gapful number since it is divisible by the number (20) 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 23027169280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28578841200).

23027169280 is an abundant number, since it is smaller than the sum of its proper divisors (34130513120).

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

23027169280 is an equidigital number, since it uses as much as digits as its factorization.

23027169280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77599 (or 77579 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 23027169280 in words is "twenty-three billion, twenty-seven million, one hundred sixty-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 464 512 580 640 928 1024 1160 1280 1856 2048 2320 2560 3712 4640 5120 7424 9280 10240 14848 18560 29696 37120 59392 74240 77543 148480 155086 296960 310172 387715 620344 775430 1240688 1550860 2248747 2481376 3101720 4497494 4962752 6203440 8994988 9925504 11243735 12406880 17989976 19851008 22487470 24813760 35979952 39702016 44974940 49627520 71959904 79404032 89949880 99255040 143919808 158808064 179899760 198510080 287839616 359799520 397020160 575679232 719599040 794040320 1151358464 1439198080 2302716928 2878396160 4605433856 5756792320 11513584640 23027169280