Search a number
-
+
47451093840 = 2433521968099
BaseRepresentation
bin101100001100010011…
…100011101101010000
311112110221121022201000
4230030103203231100
51234134440000330
633444305342000
73266611433313
oct541423435520
9145427538630
1047451093840
111913a9a6137
129243337900
134622979027
142421dcc97a
15137ac08560
hexb0c4e3b50

47451093840 has 80 divisors (see below), whose sum is σ = 163442664000. Its totient is φ = 12653624448.

The previous prime is 47451093799. The next prime is 47451093841. The reversal of 47451093840 is 4839015474.

47451093840 is a `hidden beast` number, since 4 + 7 + 4 + 510 + 93 + 8 + 40 = 666.

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

It is a super-2 number, since 2×474510938402 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47451093841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10981890 + ... + 10986209.

It is an arithmetic number, because the mean of its divisors is an integer number (2043033300).

Almost surely, 247451093840 is an apocalyptic number.

47451093840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47451093840 is an abundant number, since it is smaller than the sum of its proper divisors (115991570160).

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

47451093840 is a wasteful number, since it uses less digits than its factorization.

47451093840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21968121 (or 21968109 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 47451093840 in words is "forty-seven billion, four hundred fifty-one million, ninety-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 21968099 43936198 65904297 87872396 109840495 131808594 175744792 197712891 219680990 263617188 329521485 351489584 395425782 439361980 527234376 593138673 659042970 790851564 878723960 988564455 1054468752 1186277346 1318085940 1581703128 1757447920 1977128910 2372554692 2636171880 2965693365 3163406256 3954257820 4745109384 5272343760 5931386730 7908515640 9490218768 11862773460 15817031280 23725546920 47451093840