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51010622121152 = 26173113093115513
BaseRepresentation
bin10111001100100110101100…
…00000101110010011000000
320200121120022221222100112102
423212103112000232103000
523141224223230334102
6300253542320445532
713513252524623321
oct1346232600562300
9220546287870472
1051010622121152
1115287535385901
12587a24a1798a8
13226038654b5b5
14c84cda678448
155d6d83bc1402
hex2e64d602e4c0

51010622121152 has 112 divisors (see below), whose sum is σ = 110645349196032. Its totient is φ = 23228668477440.

The previous prime is 51010622121091. The next prime is 51010622121161. The reversal of 51010622121152 is 25112122601015.

It is an unprimeable number.

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, 441542948 + ... + 441658460.

It is an arithmetic number, because the mean of its divisors is an integer number (987904903536).

Almost surely, 251010622121152 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 51010622121152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55322674598016).

51010622121152 is an abundant number, since it is smaller than the sum of its proper divisors (59634727074880).

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

51010622121152 is a wasteful number, since it uses less digits than its factorization.

51010622121152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128666 (or 128656 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 29.

Adding to 51010622121152 its reverse (25112122601015), we get a palindrome (76122744722167).

The spelling of 51010622121152 in words is "fifty-one trillion, ten billion, six hundred twenty-two million, one hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 136 248 272 496 527 544 992 1054 1088 1984 2108 4216 8432 13093 16864 26186 33728 52372 104744 115513 209488 222581 231026 405883 418976 445162 462052 811766 837952 890324 924104 1623532 1780648 1848208 1963721 3247064 3561296 3580903 3696416 3927442 6494128 6900011 7122592 7161806 7392832 7854884 12988256 13800022 14245184 14323612 15709768 25976512 27600044 28647224 31419536 55200088 57294448 60875351 62839072 110400176 114588896 121750702 125678144 220800352 229177792 243501404 441600704 487002808 974005616 1512411709 1948011232 3024823418 3896022464 6049646836 12099293672 24198587344 25710999053 46884762979 48397174688 51421998106 93769525958 96794349376 102843996212 187539051916 205687992424 375078103832 411375984848 750156207664 797040970643 822751969696 1500312415328 1594081941286 1645503939392 3000624830656 3188163882572 6376327765144 12752655530288 25505311060576 51010622121152