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47692444996 = 22721928212
BaseRepresentation
bin101100011010101100…
…001111010101000100
311120002202202020020201
4230122230033111010
51240133231214441
633524250340244
73305602044100
oct543254172504
9146082666221
1047692444996
11192541618a9
1292b012a684
134660980b71
142446096900
151391ecec31
hexb1ab0f544

47692444996 has 81 divisors (see below), whose sum is σ = 102591998397. Its totient is φ = 19340264160.

The previous prime is 47692444973. The next prime is 47692445033. The reversal of 47692444996 is 69944429674.

The square root of 47692444996 is 218386.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13022004996 + 34670440000 = 114114^2 + 186200^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 58090266 + ... + 58091086.

Almost surely, 247692444996 is an apocalyptic number.

47692444996 is the 218386-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47692444996

47692444996 is an abundant number, since it is smaller than the sum of its proper divisors (54899553401).

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

47692444996 is an equidigital number, since it uses as much as digits as its factorization.

47692444996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 849 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 64.

Multiplying 47692444996 by its sum of digits (64), we get a square (3052316479744 = 17470882).

The spelling of 47692444996 in words is "forty-seven billion, six hundred ninety-two million, four hundred forty-four thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 361 532 722 821 931 1444 1642 1862 2527 3284 3724 5054 5747 10108 11494 15599 17689 22988 31198 35378 40229 62396 70756 80458 109193 160916 218386 296381 436772 592762 674041 764351 1185524 1348082 1528702 2074667 2696164 3057404 4149334 4718287 8298668 9436574 12806779 14522669 18873148 25613558 29045338 33028009 51227116 58090676 66056018 89647453 132112036 179294906 243328801 358589812 486657602 627532171 973315204 1255064342 1703301607 2510128684 3406603214 6813206428 11923111249 23846222498 47692444996