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2066688480 = 253529148469
BaseRepresentation
bin111101100101111…
…0010100111100000
312100000211122121210
41323023302213200
513213033012410
6541024150120
7102133363563
oct17313624740
95300748553
102066688480
1197065670a
12498168340
1326c2267bc
141586984da
15c1687220
hex7b2f29e0

2066688480 has 96 divisors (see below), whose sum is σ = 6734599200. Its totient is φ = 532109312.

The previous prime is 2066688467. The next prime is 2066688493. The reversal of 2066688480 is 848866602.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2066688467) and next prime (2066688493).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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, 60315 + ... + 88154.

It is an arithmetic number, because the mean of its divisors is an integer number (70152075).

Almost surely, 22066688480 is an apocalyptic number.

2066688480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2066688480 is an abundant number, since it is smaller than the sum of its proper divisors (4667910720).

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

2066688480 is a wasteful number, since it uses less digits than its factorization.

2066688480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148516 (or 148508 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 2066688480 is about 45460.8455706666. The cubic root of 2066688480 is about 1273.7719263096.

The spelling of 2066688480 in words is "two billion, sixty-six million, six hundred eighty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1740 2320 2784 3480 4640 6960 13920 148469 296938 445407 593876 742345 890814 1187752 1484690 1781628 2227035 2375504 2969380 3563256 4305601 4454070 4751008 5938760 7126512 8611202 8908140 11877520 12916803 14253024 17222404 17816280 21528005 23755040 25833606 34444808 35632560 43056010 51667212 64584015 68889616 71265120 86112020 103334424 129168030 137779232 172224040 206668848 258336060 344448080 413337696 516672120 688896160 1033344240 2066688480