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28244614656 = 293472391637
BaseRepresentation
bin11010010011100000…
…101001111000000000
32200220102020002101010
4122103200221320000
5430321110132111
620550404040520
72016633156216
oct322340517000
980812202333
1028244614656
1110a84392045
125583093140
1328817c614b
14151d266cb6
15b04984aa6
hex693829e00

28244614656 has 160 divisors (see below), whose sum is σ = 77215057920. Its totient is φ = 9170395136.

The previous prime is 28244614613. The next prime is 28244614667. The reversal of 28244614656 is 65641644282.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17253070 + ... + 17254706.

It is an arithmetic number, because the mean of its divisors is an integer number (482594112).

Almost surely, 228244614656 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 28244614656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38607528960).

28244614656 is an abundant number, since it is smaller than the sum of its proper divisors (48970443264).

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

28244614656 is a wasteful number, since it uses less digits than its factorization.

28244614656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1928 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 48.

The spelling of 28244614656 in words is "twenty-eight billion, two hundred forty-four million, six hundred fourteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 239 256 282 376 384 478 512 564 717 752 768 956 1128 1434 1504 1536 1637 1912 2256 2868 3008 3274 3824 4512 4911 5736 6016 6548 7648 9024 9822 11233 11472 12032 13096 15296 18048 19644 22466 22944 24064 26192 30592 33699 36096 39288 44932 45888 52384 61184 67398 72192 76939 78576 89864 91776 104768 122368 134796 153878 157152 179728 183552 209536 230817 269592 307756 314304 359456 367104 391243 419072 461634 539184 615512 628608 718912 782486 838144 923268 1078368 1173729 1231024 1257216 1437824 1564972 1846536 2156736 2347458 2462048 2514432 2875648 3129944 3693072 4313472 4694916 4924096 5751296 6259888 7386144 8626944 9389832 9848192 12519776 14772288 17253888 18388421 18779664 19696384 25039552 29544576 36776842 37559328 39392768 50079104 55165263 59089152 73553684 75118656 100158208 110330526 118178304 147107368 150237312 200316416 220661052 294214736 300474624 441322104 588429472 600949248 882644208 1176858944 1765288416 2353717888 3530576832 4707435776 7061153664 9414871552 14122307328 28244614656