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47621609145 = 325111512712351
BaseRepresentation
bin101100010110011110…
…000001011010111001
311112220211110101201200
4230112132001122321
51240012112443040
633513240204413
73304051666425
oct542636013271
9145824411650
1047621609145
111921817a880
129290469709
13464c0aba66
14243a8d7b85
15138ab8b630
hexb167816b9

47621609145 has 96 divisors (see below), whose sum is σ = 91017658368. Its totient is φ = 22842000000.

The previous prime is 47621609143. The next prime is 47621609179. The reversal of 47621609145 is 54190612674.

47621609145 is a `hidden beast` number, since 4 + 7 + 6 + 21 + 609 + 14 + 5 = 666.

47621609145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 47621609145 - 21 = 47621609143 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 47621609145.

It is not an unprimeable number, because it can be changed into a prime (47621609143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20254720 + ... + 20257070.

It is an arithmetic number, because the mean of its divisors is an integer number (948100608).

Almost surely, 247621609145 is an apocalyptic number.

47621609145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

47621609145 is a deficient number, since it is larger than the sum of its proper divisors (43396049223).

47621609145 is a wasteful number, since it uses less digits than its factorization.

47621609145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2795 (or 2792 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 47621609145 in words is "forty-seven billion, six hundred twenty-one million, six hundred nine thousand, one hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 151 165 271 453 495 755 813 1355 1359 1661 2265 2351 2439 2981 4065 4983 6795 7053 8305 8943 11755 12195 14905 14949 21159 24915 25861 26829 35265 40921 44715 74745 77583 105795 122763 129305 134145 204605 232749 355001 368289 387915 450131 613815 637121 1065003 1163745 1350393 1775005 1841445 1911363 2250655 3185605 3195009 3905011 4051179 5325015 5734089 6751965 7008331 9556815 11715033 15975045 19525055 20255895 21024993 28670445 35041655 35145099 58575165 63074979 96205271 105124965 175725495 288615813 315374895 481026355 865847439 1058257981 1443079065 3174773943 4329237195 5291289905 9524321829 15873869715 47621609145