Search a number
-
+
28826348737152 = 273769211346199
BaseRepresentation
bin1101000110111101010000…
…10001101101001010000000
310210001202211210210011212110
412203132220101231022000
512234242330234042102
6141150350343255320
76033430536302631
oct643365021551200
9123052753704773
1028826348737152
1192042053a719a
1232968a5a4a540
13131140b92b395
147192ba3b5888
1534ec8d3cb86c
hex1a37a846d280

28826348737152 has 128 divisors (see below), whose sum is σ = 76707504720000. Its totient is φ = 9591538581504.

The previous prime is 28826348737139. The next prime is 28826348737157. The reversal of 28826348737152 is 25173784362882.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×288263487371522 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28826348737157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 623937349 + ... + 623983547.

It is an arithmetic number, because the mean of its divisors is an integer number (599277380625).

Almost surely, 228826348737152 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 28826348737152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38353752360000).

28826348737152 is an abundant number, since it is smaller than the sum of its proper divisors (47881155982848).

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

28826348737152 is a wasteful number, since it uses less digits than its factorization.

28826348737152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49098 (or 49086 counting only the distinct ones).

The product of its digits is 216760320, while the sum is 66.

The spelling of 28826348737152 in words is "twenty-eight trillion, eight hundred twenty-six billion, three hundred forty-eight million, seven hundred thirty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 769 1538 2113 2307 3076 4226 4614 6152 6339 8452 9228 12304 12678 16904 18456 24608 25356 33808 36912 46199 49216 50712 67616 73824 92398 98432 101424 135232 138597 147648 184796 202848 270464 277194 295296 369592 405696 554388 739184 811392 1108776 1478368 1624897 2217552 2956736 3249794 4435104 4874691 5913472 6499588 8870208 9749382 12999176 17740416 19498764 25998352 35527031 38997528 51996704 71054062 77995056 97618487 103993408 106581093 142108124 155990112 195236974 207986816 213162186 284216248 292855461 311980224 390473948 426324372 568432496 585710922 623960448 780947896 852648744 1136864992 1171421844 1561895792 1705297488 2273729984 2342843688 3123791584 3410594976 4547459968 4685687376 6247583168 6821189952 9371374752 12495166336 13642379904 18742749504 37485499008 75068616503 150137233006 225205849509 300274466012 450411699018 600548932024 900823398036 1201097864048 1801646796072 2402195728096 3603293592144 4804391456192 7206587184288 9608782912384 14413174368576 28826348737152