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21428608344 = 233111341152287
BaseRepresentation
bin10011111101001111…
…101001110101011000
32001022101201002110220
4103331033221311120
5322341210431334
613502201240040
71356010110543
oct237517516530
961271632426
1021428608344
1190a6988680
1241a0493020
132036661b10
141073d2385a
158563b2449
hex4fd3e9d58

21428608344 has 128 divisors (see below), whose sum is σ = 64472647680. Its totient is φ = 5847782400.

The previous prime is 21428608337. The next prime is 21428608373. The reversal of 21428608344 is 44380682412.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21428608296 and 21428608305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64569 + ... + 216855.

It is an arithmetic number, because the mean of its divisors is an integer number (503692560).

Almost surely, 221428608344 is an apocalyptic number.

21428608344 is a gapful number since it is divisible by the number (24) 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 21428608344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32236323840).

21428608344 is an abundant number, since it is smaller than the sum of its proper divisors (43044039336).

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

21428608344 is a wasteful number, since it uses less digits than its factorization.

21428608344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152361 (or 152357 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 21428608344 in words is "twenty-one billion, four hundred twenty-eight million, six hundred eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 41 44 52 66 78 82 88 104 123 132 143 156 164 246 264 286 312 328 429 451 492 533 572 858 902 984 1066 1144 1353 1599 1716 1804 2132 2706 3198 3432 3608 4264 5412 5863 6396 10824 11726 12792 17589 23452 35178 46904 70356 140712 152287 304574 456861 609148 913722 1218296 1675157 1827444 1979731 3350314 3654888 3959462 5025471 5939193 6243767 6700628 7918924 10050942 11878386 12487534 13401256 15837848 18731301 20101884 21777041 23756772 24975068 37462602 40203768 43554082 47513544 49950136 65331123 68681437 74925204 81168971 87108164 130662246 137362874 149850408 162337942 174216328 206044311 243506913 261324492 274725748 324675884 412088622 487013826 522648984 549451496 649351768 824177244 892858681 974027652 1648354488 1785717362 1948055304 2678576043 3571434724 5357152086 7142869448 10714304172 21428608344