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21055540656 = 2435316275087
BaseRepresentation
bin10011100111000000…
…100000110110110000
32000100101201021211010
4103213000200312300
5321110204300111
613401153150520
71343530066623
oct234700406660
960311637733
1021055540656
118a25338377
1240b755b440
131ca72900c7
14103a56ddba
1583376daa6
hex4e7020db0

21055540656 has 80 divisors (see below), whose sum is σ = 55464735744. Its totient is φ = 6880503552.

The previous prime is 21055540651. The next prime is 21055540657. The reversal of 21055540656 is 65604555012.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21055540651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4136545 + ... + 4141631.

Almost surely, 221055540656 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 21055540656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27732367872).

21055540656 is an abundant number, since it is smaller than the sum of its proper divisors (34409195088).

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

21055540656 is a wasteful number, since it uses less digits than its factorization.

21055540656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6778 (or 6772 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 39.

The spelling of 21055540656 in words is "twenty-one billion, fifty-five million, five hundred forty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 848 1272 1627 2544 3254 4881 5087 6508 9762 10174 13016 15261 19524 20348 26032 30522 39048 40696 61044 78096 81392 86231 122088 172462 244176 258693 269611 344924 517386 539222 689848 808833 1034772 1078444 1379696 1617666 2069544 2156888 3235332 4139088 4313776 6470664 8276549 12941328 16553098 24829647 33106196 49659294 66212392 99318588 132424784 198637176 397274352 438657097 877314194 1315971291 1754628388 2631942582 3509256776 5263885164 7018513552 10527770328 21055540656