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21951312936 = 23373730711503
BaseRepresentation
bin10100011100011001…
…100111010000101000
32002122211021020101020
4110130121213100220
5324424014003221
614030112452440
71404655036620
oct243431472050
962584236336
1021951312936
119344a42343
12430754a120
1320baa36387
1410c3509880
15887212ac6
hex51c667428

21951312936 has 128 divisors (see below), whose sum is σ = 64628551680. Its totient is φ = 6081889536.

The previous prime is 21951312931. The next prime is 21951312949. The reversal of 21951312936 is 63921315912.

It is a super-2 number, since 2×219513129362 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is not an unprimeable number, because it can be changed into a prime (21951312931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1902561 + ... + 1914063.

It is an arithmetic number, because the mean of its divisors is an integer number (504910560).

Almost surely, 221951312936 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 21951312936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32314275840).

21951312936 is an abundant number, since it is smaller than the sum of its proper divisors (42677238744).

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

21951312936 is a wasteful number, since it uses less digits than its factorization.

21951312936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11863 (or 11859 counting only the distinct ones).

The product of its digits is 87480, while the sum is 42.

It can be divided in two parts, 2195 and 1312936, that added together give a palindrome (1315131).

The spelling of 21951312936 in words is "twenty-one billion, nine hundred fifty-one million, three hundred twelve thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 307 444 518 614 777 888 921 1036 1228 1554 1842 2072 2149 2456 3108 3684 4298 6216 6447 7368 8596 11359 11503 12894 17192 22718 23006 25788 34077 34509 45436 46012 51576 68154 69018 79513 80521 90872 92024 136308 138036 159026 161042 238539 241563 272616 276072 318052 322084 425611 477078 483126 636104 644168 851222 954156 966252 1276833 1702444 1908312 1932504 2553666 2979277 3404888 3531421 5107332 5958554 7062842 8937831 10214664 10594263 11917108 14125684 17875662 21188526 23834216 24719947 28251368 35751324 42377052 49439894 71502648 74159841 84754104 98879788 130662577 148319682 197759576 261325154 296639364 391987731 522650308 593278728 783975462 914638039 1045300616 1567950924 1829276078 2743914117 3135901848 3658552156 5487828234 7317104312 10975656468 21951312936