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20074078980 = 223252910513659
BaseRepresentation
bin10010101100100000…
…100010001100000100
31220210222220212111200
4102230200202030010
5312102431011410
613115533102500
71310311566414
oct225440421404
956728825450
1020074078980
11857132671a
123a82927a30
131b7bb43c57
14d8608a644
157c75003c0
hex4ac822304

20074078980 has 144 divisors (see below), whose sum is σ = 63068241600. Its totient is φ = 5162169600.

The previous prime is 20074078979. The next prime is 20074079033. The reversal of 20074078980 is 8987047002.

It is a super-4 number, since 4×200740789804 (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5484391 + ... + 5488049.

It is an arithmetic number, because the mean of its divisors is an integer number (437973900).

Almost surely, 220074078980 is an apocalyptic number.

20074078980 is a gapful number since it is divisible by the number (20) 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 20074078980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31534120800).

20074078980 is an abundant number, since it is smaller than the sum of its proper divisors (42994162620).

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

20074078980 is a wasteful number, since it uses less digits than its factorization.

20074078980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4754 (or 4749 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

20074078980 divided by its sum of digits (45) gives a palindrome (446090644).

The spelling of 20074078980 in words is "twenty billion, seventy-four million, seventy-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1051 1305 1740 2102 2610 3153 3659 4204 5220 5255 6306 7318 9459 10510 10977 12612 14636 15765 18295 18918 21020 21954 30479 31530 32931 36590 37836 43908 47295 54885 60958 63060 65862 73180 91437 94590 106111 109770 121916 131724 152395 164655 182874 189180 212222 219540 274311 304790 318333 329310 365748 424444 457185 530555 548622 609580 636666 658620 914370 954999 1061110 1097244 1273332 1371555 1591665 1828740 1909998 2122220 2743110 3183330 3819996 3845609 4774995 5486220 6366660 7691218 9549990 11536827 15382436 19099980 19228045 23073654 34610481 38456090 46147308 57684135 69220962 76912180 111522661 115368270 138441924 173052405 223045322 230736540 334567983 346104810 446090644 557613305 669135966 692209620 1003703949 1115226610 1338271932 1672839915 2007407898 2230453220 3345679830 4014815796 5018519745 6691359660 10037039490 20074078980