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28054491264 = 273417159169
BaseRepresentation
bin11010001000001011…
…011001000010000000
32200102011110211010000
4122020023121002000
5424423422210024
620515453040000
72012134145502
oct321013310200
980364424100
1028054491264
1110997035578
12552b486000
1328512b94b7
141501cd5d72
15ae2e2bcc9
hex6882d9080

28054491264 has 160 divisors (see below), whose sum is σ = 88401426300. Its totient is φ = 8801353728.

The previous prime is 28054491181. The next prime is 28054491271. The reversal of 28054491264 is 46219445082.

It is a happy number.

28054491264 is a `hidden beast` number, since 2 + 80 + 5 + 449 + 126 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27161676864 + 892814400 = 164808^2 + 29880^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 96672 + ... + 255840.

Almost surely, 228054491264 is an apocalyptic number.

28054491264 is a gapful number since it is divisible by the number (24) 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 28054491264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44200713150).

28054491264 is an abundant number, since it is smaller than the sum of its proper divisors (60346935036).

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

28054491264 is a wasteful number, since it uses less digits than its factorization.

28054491264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159212 (or 159191 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 28054491264 in words is "twenty-eight billion, fifty-four million, four hundred ninety-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 128 136 144 153 162 192 204 216 272 288 306 324 384 408 432 459 544 576 612 648 816 864 918 1088 1152 1224 1296 1377 1632 1728 1836 2176 2448 2592 2754 3264 3456 3672 4896 5184 5508 6528 7344 9792 10368 11016 14688 19584 22032 29376 44064 58752 88128 159169 176256 318338 477507 636676 955014 1273352 1432521 1910028 2546704 2705873 2865042 3820056 4297563 5093408 5411746 5730084 7640112 8117619 8595126 10186816 10823492 11460168 12892689 15280224 16235238 17190252 20373632 21646984 22920336 24352857 25785378 30560448 32470476 34380504 43293968 45840672 48705714 51570756 61120896 64940952 68761008 73058571 86587936 91681344 97411428 103141512 129881904 137522016 146117142 173175872 183362688 194822856 206283024 219175713 259763808 275044032 292234284 346351744 389645712 412566048 438351426 519527616 550088064 584468568 779291424 825132096 876702852 1039055232 1168937136 1558582848 1650264192 1753405704 2337874272 3117165696 3506811408 4675748544 7013622816 9351497088 14027245632 28054491264