Search a number
-
+
20135476080 = 24325157178127
BaseRepresentation
bin10010110000001010…
…101111101101110000
31220222021110011111100
4102300022233231300
5312214140213310
613130005044400
71311655502616
oct226012575560
956867404440
1020135476080
1185a2a51225
123a9b3b6700
131b8b78cab5
14d902ad6b6
157ccacbec0
hex4b02afb70

20135476080 has 120 divisors (see below), whose sum is σ = 68052733632. Its totient is φ = 5335229952.

The previous prime is 20135476037. The next prime is 20135476087. The reversal of 20135476080 is 8067453102.

20135476080 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 5 + 47 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20135476087) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 23977 + ... + 202103.

Almost surely, 220135476080 is an apocalyptic number.

20135476080 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 20135476080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34026366816).

20135476080 is an abundant number, since it is smaller than the sum of its proper divisors (47917257552).

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

20135476080 is a wasteful number, since it uses less digits than its factorization.

20135476080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178303 (or 178294 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 20135476080 in words is "twenty billion, one hundred thirty-five million, four hundred seventy-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 157 180 240 314 360 471 628 720 785 942 1256 1413 1570 1884 2355 2512 2826 3140 3768 4710 5652 6280 7065 7536 9420 11304 12560 14130 18840 22608 28260 37680 56520 113040 178127 356254 534381 712508 890635 1068762 1425016 1603143 1781270 2137524 2671905 2850032 3206286 3562540 4275048 5343810 6412572 7125080 8015715 8550096 10687620 12825144 14250160 16031430 21375240 25650288 27965939 32062860 42750480 55931878 64125720 83897817 111863756 128251440 139829695 167795634 223727512 251693451 279659390 335591268 419489085 447455024 503386902 559318780 671182536 838978170 1006773804 1118637560 1258467255 1342365072 1677956340 2013547608 2237275120 2516934510 3355912680 4027095216 5033869020 6711825360 10067738040 20135476080