Search a number
-
+
67027015552 = 2773112719001
BaseRepresentation
bin111110011011000111…
…110001011110000000
320102000020011011220111
4332123013301132000
52044232403444202
650443005321104
74561664142340
oct763307613600
9212006134814
1067027015552
1126476003932
1210ba7266194
136422531863
14335bc42d20
151b246066d7
hexf9b1f1780

67027015552 has 128 divisors (see below), whose sum is σ = 158777671680. Its totient is φ = 27578880000.

The previous prime is 67027015547. The next prime is 67027015603. The reversal of 67027015552 is 25551072076.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3518052 + ... + 3537052.

It is an arithmetic number, because the mean of its divisors is an integer number (1240450560).

Almost surely, 267027015552 is an apocalyptic number.

67027015552 is a gapful number since it is divisible by the number (62) 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 67027015552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79388835840).

67027015552 is an abundant number, since it is smaller than the sum of its proper divisors (91750656128).

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

67027015552 is a wasteful number, since it uses less digits than its factorization.

67027015552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19180 (or 19168 counting only the distinct ones).

The product of its (nonzero) digits is 147000, while the sum is 40.

The spelling of 67027015552 in words is "sixty-seven billion, twenty-seven million, fifteen thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 127 128 217 224 248 254 434 448 496 508 868 889 896 992 1016 1736 1778 1984 2032 3472 3556 3937 3968 4064 6944 7112 7874 8128 13888 14224 15748 16256 19001 27559 27776 28448 31496 38002 55118 56896 62992 76004 110236 113792 125984 133007 152008 220472 251968 266014 304016 440944 503936 532028 589031 608032 881888 1064056 1178062 1216064 1763776 2128112 2356124 2413127 2432128 3527552 4123217 4256224 4712248 4826254 8246434 8512448 9424496 9652508 16492868 16891889 17024896 18848992 19305016 32985736 33783778 37697984 38610032 65971472 67567556 74806937 75395968 77220064 131942944 135135112 149613874 154440128 263885888 270270224 299227748 308880256 523648559 527771776 540540448 598455496 1047297118 1081080896 1196910992 2094594236 2162161792 2393821984 4189188472 4787643968 8378376944 9575287936 16756753888 33513507776 67027015552