Search a number
-
+
47494657236450 = 23521741774459027
BaseRepresentation
bin10101100110010001101100…
…01011000101110111100010
320020011110000022202012011210
422303020312023011313202
522211123024223031300
6245002424435050550
713001242611331314
oct1263106613056742
9206143008665153
1047494657236450
1114151409910546
1253b0948740a56
13206695b190ab8
14ba2a7a12b7b4
155756a1e8d050
hex2b32362c5de2

47494657236450 has 96 divisors (see below), whose sum is σ = 124745267916864. Its totient is φ = 11917371248640.

The previous prime is 47494657236431. The next prime is 47494657236457. The reversal of 47494657236450 is 5463275649474.

47494657236450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (47494657236457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8421837 + ... + 12880863.

It is an arithmetic number, because the mean of its divisors is an integer number (1299429874134).

Almost surely, 247494657236450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47494657236450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62372633958432).

47494657236450 is an abundant number, since it is smaller than the sum of its proper divisors (77250610680414).

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

47494657236450 is a wasteful number, since it uses less digits than its factorization.

47494657236450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4463236 (or 4463231 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 66.

It can be divided in two parts, 474946 and 57236450, that added together give a triangular number (57711396 = T10743).

The spelling of 47494657236450 in words is "forty-seven trillion, four hundred ninety-four billion, six hundred fifty-seven million, two hundred thirty-six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 150 170 255 425 510 850 1275 2550 4177 8354 12531 20885 25062 41770 62655 71009 104425 125310 142018 208850 213027 313275 355045 426054 626550 710090 1065135 1775225 2130270 3550450 4459027 5325675 8918054 10651350 13377081 22295135 26754162 44590270 66885405 75803459 111475675 133770810 151606918 222951350 227410377 334427025 379017295 454820754 668854050 758034590 1137051885 1895086475 2274103770 3790172950 5685259425 11370518850 18625355779 37250711558 55876067337 93126778895 111752134674 186253557790 279380336685 316631048243 465633894475 558760673370 633262096486 931267788950 949893144729 1396901683425 1583155241215 1899786289458 2793803366850 3166310482430 4749465723645 7915776206075 9498931447290 15831552412150 23747328618225 47494657236450