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21152346556460 = 22571307145379559
BaseRepresentation
bin1001100111100111010100…
…00110100100100000101100
32202220010220101210212022212
410303303222012210200230
510233030001204301320
6112553130500025552
74312130603106440
oct463635206444054
982803811725285
1021152346556460
116815729210739
1224575720922b8
13ba5872024a72
14531ac9962820
1526a34b1e79c5
hex133cea1a482c

21152346556460 has 96 divisors (see below), whose sum is σ = 50840077317120. Its totient is φ = 7241605924608.

The previous prime is 21152346556423. The next prime is 21152346556483. The reversal of 21152346556460 is 6465564325112.

It is a junction number, because it is equal to n+sod(n) for n = 21152346556399 and 21152346556408.

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, 265830161 + ... + 265909719.

It is an arithmetic number, because the mean of its divisors is an integer number (529584138720).

Almost surely, 221152346556460 is an apocalyptic number.

21152346556460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21152346556460 is an abundant number, since it is smaller than the sum of its proper divisors (29687730760660).

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

21152346556460 is a wasteful number, since it uses less digits than its factorization.

21152346556460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82335 (or 82333 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 50.

The spelling of 21152346556460 in words is "twenty-one trillion, one hundred fifty-two billion, three hundred forty-six million, five hundred fifty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1307 1453 2614 2906 5228 5812 6535 7265 9149 10171 13070 14530 18298 20342 26140 29060 36596 40684 45745 50855 79559 91490 101710 159118 182980 203420 318236 397795 556913 795590 1113826 1591180 1899071 2227652 2784565 3798142 5569130 7596284 9495355 11138260 13293497 18990710 26586994 37981420 53173988 66467485 103983613 115599227 132934970 207967226 231198454 265869940 415934452 462396908 519918065 577996135 727885291 809194589 1039836130 1155992270 1455770582 1618389178 2079672260 2311984540 2911541164 3236778356 3639426455 4045972945 7278852910 8091945890 14557705820 16183891780 151088189689 302176379378 604352758756 755440948445 1057617327823 1510881896890 2115234655646 3021763793780 4230469311292 5288086639115 10576173278230 21152346556460