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21130364608 = 261743145061
BaseRepresentation
bin10011101011011101…
…111100011011000000
32000112121111201222121
4103223131330123000
5321233333131413
613412425014024
71345426064353
oct235335743300
960477451877
1021130364608
118a635a3751
124118624314
131cb992a532
14104648a29a
1583a0edb8d
hex4eb77c6c0

21130364608 has 56 divisors (see below), whose sum is σ = 44501068224. Its totient is φ = 9920409600.

The previous prime is 21130364581. The next prime is 21130364617. The reversal of 21130364608 is 80646303112.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 446398 + ... + 491458.

Almost surely, 221130364608 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 21130364608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22250534112).

21130364608 is an abundant number, since it is smaller than the sum of its proper divisors (23370703616).

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

21130364608 is a wasteful number, since it uses less digits than its factorization.

21130364608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45521 (or 45511 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 21130364608 in words is "twenty-one billion, one hundred thirty million, three hundred sixty-four thousand, six hundred eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 431 544 862 1088 1724 3448 6896 7327 13792 14654 27584 29308 45061 58616 90122 117232 180244 234464 360488 468928 720976 766037 1441952 1532074 2883904 3064148 6128296 12256592 19421291 24513184 38842582 49026368 77685164 155370328 310740656 330161947 621481312 660323894 1242962624 1320647788 2641295576 5282591152 10565182304 21130364608