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21426172460 = 22571119976967
BaseRepresentation
bin10011111101000110…
…010111001000101100
32001022020010100001222
4103331012113020230
5322340100004320
613502033122512
71355650314050
oct237506271054
961266110058
1021426172460
1190a5574550
12419b6b9438
132035cbb174
14107388bc60
15856080825
hex4fd19722c

21426172460 has 96 divisors (see below), whose sum is σ = 56133762048. Its totient is φ = 6673985280.

The previous prime is 21426172433. The next prime is 21426172463. The reversal of 21426172460 is 6427162412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 21426172460.

It is not an unprimeable number, because it can be changed into a prime (21426172463) 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, 3071897 + ... + 3078863.

It is an arithmetic number, because the mean of its divisors is an integer number (584726688).

Almost surely, 221426172460 is an apocalyptic number.

21426172460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21426172460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28066881024).

21426172460 is an abundant number, since it is smaller than the sum of its proper divisors (34707589588).

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

21426172460 is a wasteful number, since it uses less digits than its factorization.

21426172460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8991 (or 8989 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 21426172460 in words is "twenty-one billion, four hundred twenty-six million, one hundred seventy-two thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 1997 3994 6967 7988 9985 13934 13979 19970 21967 27868 27958 34835 39940 43934 48769 55916 69670 69895 76637 87868 97538 109835 139340 139790 153274 153769 195076 219670 243845 279580 306548 307538 383185 439340 487690 536459 615076 766370 768845 975380 1072918 1532740 1537690 2145836 2682295 3075380 5364590 10729180 13913099 27826198 55652396 69565495 97391693 139130990 153044089 194783386 278261980 306088178 389566772 486958465 612176356 765220445 973916930 1071308623 1530440890 1947833860 2142617246 3060881780 4285234492 5356543115 10713086230 21426172460