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40987929680 = 2453197117021
BaseRepresentation
bin100110001011000100…
…100010110001010000
310220210112000120020122
4212023010202301100
51132420402222210
630455105325412
72650501440155
oct461304426120
9126715016218
1040987929680
1116423688255
127b3a936868
133b32954739
141dab89622c
1510ed5d1b55
hex98b122c50

40987929680 has 80 divisors (see below), whose sum is σ = 98478125568. Its totient is φ = 15849024000.

The previous prime is 40987929673. The next prime is 40987929691. The reversal of 40987929680 is 8692978904.

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

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2399570 + ... + 2416590.

Almost surely, 240987929680 is an apocalyptic number.

40987929680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40987929680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49239062784).

40987929680 is an abundant number, since it is smaller than the sum of its proper divisors (57490195888).

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

40987929680 is a wasteful number, since it uses less digits than its factorization.

40987929680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18036 (or 18030 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 62.

The spelling of 40987929680 in words is "forty billion, nine hundred eighty-seven million, nine hundred twenty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 971 1240 1942 2480 3884 4855 7768 9710 15536 17021 19420 30101 34042 38840 60202 68084 77680 85105 120404 136168 150505 170210 240808 272336 301010 340420 481616 527651 602020 680840 1055302 1204040 1361680 2110604 2408080 2638255 4221208 5276510 8442416 10553020 16527391 21106040 33054782 42212080 66109564 82636955 132219128 165273910 264438256 330547820 512349121 661095640 1024698242 1322191280 2049396484 2561745605 4098792968 5123491210 8197585936 10246982420 20493964840 40987929680