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21270922904 = 23711531076089
BaseRepresentation
bin10011110011110110…
…001000011010011000
32000220101222211201102
4103303312020122120
5322030324013104
613434405410532
71352053601330
oct236366103230
960811884642
1021270922904
119025977230
124157709a48
13200caa1a1a
14105add80c0
15847615a1e
hex4f3d88698

21270922904 has 128 divisors (see below), whose sum is σ = 51144307200. Its totient is φ = 8053693440.

The previous prime is 21270922901. The next prime is 21270922913. The reversal of 21270922904 is 40922907212.

It is a super-2 number, since 2×212709229042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21270922901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3490292 + ... + 3496380.

It is an arithmetic number, because the mean of its divisors is an integer number (399564900).

Almost surely, 221270922904 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 21270922904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25572153600).

21270922904 is an abundant number, since it is smaller than the sum of its proper divisors (29873384296).

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

21270922904 is a wasteful number, since it uses less digits than its factorization.

21270922904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6273 (or 6269 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The spelling of 21270922904 in words is "twenty-one billion, two hundred seventy million, nine hundred twenty-two thousand, nine hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 44 53 56 77 88 106 107 154 212 214 308 371 424 428 583 616 742 749 856 1166 1177 1484 1498 2332 2354 2968 2996 4081 4664 4708 5671 5992 6089 8162 8239 9416 11342 12178 16324 16478 22684 24356 32648 32956 39697 42623 45368 48712 62381 65912 66979 79394 85246 124762 133958 158788 170492 249524 267916 317576 322717 340984 436667 468853 499048 535832 645434 651523 873334 937706 1290868 1303046 1746668 1875412 2259019 2581736 2606092 3493336 3549887 3750824 4518038 4560661 5212184 7099774 7166753 9036076 9121322 14199548 14333506 18072152 18242644 24849209 28399096 28667012 34530719 36485288 49698418 50167271 57334024 69061438 99396836 100334542 138122876 198793672 200669084 241715033 276245752 379837909 401338168 483430066 759675818 966860132 1519351636 1933720264 2658865363 3038703272 5317730726 10635461452 21270922904