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276230113056 = 2533472144731
BaseRepresentation
bin1000000010100001001…
…10010000011100100000
3222101222221200122211000
410001100212100130200
514011204402104211
6330522013552000
725646145135402
oct4012046203440
9871887618730
10276230113056
11a716a774437
1245650aa5600
1320082401151
14d5262c6b72
1572ba9c4656
hex4050990720

276230113056 has 144 divisors (see below), whose sum is σ = 823183512480. Its totient is φ = 90117002880.

The previous prime is 276230112959. The next prime is 276230113073. The reversal of 276230113056 is 650311032672.

276230113056 is a `hidden beast` number, since 27 + 623 + 0 + 1 + 1 + 3 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 276230113056.

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 23 ways as a sum of consecutive naturals, for example, 1836211 + ... + 1980941.

It is an arithmetic number, because the mean of its divisors is an integer number (5716552170).

Almost surely, 2276230113056 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 276230113056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411591756240).

276230113056 is an abundant number, since it is smaller than the sum of its proper divisors (546953399424).

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

276230113056 is a wasteful number, since it uses less digits than its factorization.

276230113056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144844 (or 144783 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 276230113056 in words is "two hundred seventy-six billion, two hundred thirty million, one hundred thirteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 94 96 108 141 144 188 216 282 288 376 423 432 564 752 846 864 1128 1269 1504 1692 2209 2256 2538 3384 4418 4512 5076 6627 6768 8836 10152 13254 13536 17672 19881 20304 26508 35344 39762 40608 53016 59643 70688 79524 106032 119286 144731 159048 212064 238572 289462 318096 434193 477144 578924 636192 868386 954288 1157848 1302579 1736772 1908576 2315696 2605158 3473544 3907737 4631392 5210316 6802357 6947088 7815474 10420632 13604714 13894176 15630948 20407071 20841264 27209428 31261896 40814142 41682528 54418856 61221213 62523792 81628284 108837712 122442426 125047584 163256568 183663639 217675424 244884852 319710779 326513136 367327278 489769704 639421558 653026272 734654556 959132337 979539408 1278843116 1469309112 1918264674 1959078816 2557686232 2877397011 2938618224 3836529348 5115372464 5754794022 5877236448 7673058696 8632191033 10230744928 11509588044 15346117392 17264382066 23019176088 30692234784 34528764132 46038352176 69057528264 92076704352 138115056528 276230113056