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21087427440 = 2435331265451
BaseRepresentation
bin10011101000111010…
…001001101101110000
32000102121201022021010
4103220322021231300
5321141340134230
613404252430520
71344365114202
oct235072115560
960377638233
1021087427440
118a41337392
124106178440
131cb0a75b21
1410408b0772
1583646b9b0
hex4e8e89b70

21087427440 has 80 divisors (see below), whose sum is σ = 65568767616. Its totient is φ = 5606304000.

The previous prime is 21087427397. The next prime is 21087427447. The reversal of 21087427440 is 4472478012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21087427447) 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 15 ways as a sum of consecutive naturals, for example, 53286 + ... + 212165.

Almost surely, 221087427440 is an apocalyptic number.

21087427440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21087427440 is an abundant number, since it is smaller than the sum of its proper divisors (44481340176).

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

21087427440 is a wasteful number, since it uses less digits than its factorization.

21087427440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265798 (or 265792 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 39.

The spelling of 21087427440 in words is "twenty-one billion, eighty-seven million, four hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 331 662 993 1324 1655 1986 2648 3310 3972 4965 5296 6620 7944 9930 13240 15888 19860 26480 39720 79440 265451 530902 796353 1061804 1327255 1592706 2123608 2654510 3185412 3981765 4247216 5309020 6370824 7963530 10618040 12741648 15927060 21236080 31854120 63708240 87864281 175728562 263592843 351457124 439321405 527185686 702914248 878642810 1054371372 1317964215 1405828496 1757285620 2108742744 2635928430 3514571240 4217485488 5271856860 7029142480 10543713720 21087427440