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21349528934944 = 2571716273445909
BaseRepresentation
bin1001101101010110100110…
…00101101001101000100000
32210120222212101020112201211
410312223103011221220200
510244242313401404234
6113223501014435504
74332311141503450
oct466532305515040
983528771215654
1021349528934944
116891314559111
122489822062b94
13bbb337687072
1453b473753d60
1527053c101164
hex136ad3169a20

21349528934944 has 96 divisors (see below), whose sum is σ = 50893389106560. Its totient is φ = 8606279282688.

The previous prime is 21349528934933. The next prime is 21349528934959. The reversal of 21349528934944 is 44943982594312.

It is a super-2 number, since 2×213495289349442 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (67) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 21349528934944.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4472662 + ... + 7918570.

It is an arithmetic number, because the mean of its divisors is an integer number (530139469860).

Almost surely, 221349528934944 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 21349528934944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25446694553280).

21349528934944 is an abundant number, since it is smaller than the sum of its proper divisors (29543860171616).

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

21349528934944 is a wasteful number, since it uses less digits than its factorization.

21349528934944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3447570 (or 3447562 counting only the distinct ones).

The product of its digits is 268738560, while the sum is 67.

The spelling of 21349528934944 in words is "twenty-one trillion, three hundred forty-nine billion, five hundred twenty-eight million, nine hundred thirty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1627 1904 3254 3808 6508 11389 13016 22778 26032 27659 45556 52064 55318 91112 110636 182224 193613 221272 364448 387226 442544 774452 885088 1548904 3097808 3445909 6195616 6891818 13783636 24121363 27567272 48242726 55134544 58580453 96485452 110269088 117160906 192970904 234321812 385941808 410063171 468643624 771883616 820126342 937287248 1640252684 1874574496 3280505368 5606493943 6561010736 11212987886 13122021472 22425975772 39245457601 44851951544 78490915202 89703903088 95310397031 156981830404 179407806176 190620794062 313963660808 381241588124 627927321616 667172779217 762483176248 1255854643232 1334345558434 1524966352496 2668691116868 3049932704992 5337382233736 10674764467472 21349528934944