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21211412472 = 23323119514871
BaseRepresentation
bin10011110000010011…
…000111011111111000
32000202021000101202100
4103300103013133320
5321420110144342
613424442103400
71350432013455
oct236023073770
960667011670
1021211412472
118aa5320158
12413b7aab60
132000666853
14105314682c
158422ace4c
hex4f04c77f8

21211412472 has 96 divisors (see below), whose sum is σ = 59343298560. Its totient is φ = 6837480000.

The previous prime is 21211412471. The next prime is 21211412473. The reversal of 21211412472 is 27421411212.

It is an interprime number because it is at equal distance from previous prime (21211412471) and next prime (21211412473).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21211412471) 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 23 ways as a sum of consecutive naturals, for example, 4352197 + ... + 4357067.

It is an arithmetic number, because the mean of its divisors is an integer number (618159360).

Almost surely, 221211412472 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 21211412472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29671649280).

21211412472 is an abundant number, since it is smaller than the sum of its proper divisors (38131886088).

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

21211412472 is a wasteful number, since it uses less digits than its factorization.

21211412472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6865 (or 6858 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

Adding to 21211412472 its reverse (27421411212), we get a palindrome (48632823684).

The spelling of 21211412472 in words is "twenty-one billion, two hundred eleven million, four hundred twelve thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 1951 2232 3902 4871 5853 7804 9742 11706 14613 15608 17559 19484 23412 29226 35118 38968 43839 46824 58452 60481 70236 87678 116904 120962 140472 151001 175356 181443 241924 302002 350712 362886 453003 483848 544329 604004 725772 906006 1088658 1208008 1359009 1451544 1812012 2177316 2718018 3624024 4354632 5436036 9503321 10872072 19006642 28509963 38013284 57019926 76026568 85529889 114039852 171059778 228079704 294602951 342119556 589205902 684239112 883808853 1178411804 1767617706 2356823608 2651426559 3535235412 5302853118 7070470824 10605706236 21211412472