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47939102500 = 22542921512
BaseRepresentation
bin101100101001011001…
…001010011100100100
311120201221212201201211
4230221121022130210
51241134402240000
634004541201204
73314655435142
oct545131123444
9146657781654
1047939102500
1119370412283
12935a860204
13469cac3053
14246ab42592
1513a89a37ba
hexb2964a724

47939102500 has 135 divisors (see below), whose sum is σ = 109296608421. Its totient is φ = 18391800000.

The previous prime is 47939102473. The next prime is 47939102501. The reversal of 47939102500 is 520193974.

The square root of 47939102500 is 218950.

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

It can be written as a sum of positive squares in 7 ways, for example, as 35854937316 + 12084165184 = 189354^2 + 109928^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47939102501) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 317477425 + ... + 317477575.

Almost surely, 247939102500 is an apocalyptic number.

47939102500 is the 218950-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47939102500

47939102500 is an abundant number, since it is smaller than the sum of its proper divisors (61357505921).

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

47939102500 is an equidigital number, since it uses as much as digits as its factorization.

47939102500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The spelling of 47939102500 in words is "forty-seven billion, nine hundred thirty-nine million, one hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 125 145 151 250 290 302 500 580 604 625 725 755 841 1250 1450 1510 1682 2500 2900 3020 3364 3625 3775 4205 4379 7250 7550 8410 8758 14500 15100 16820 17516 18125 18875 21025 21895 22801 36250 37750 42050 43790 45602 72500 75500 84100 87580 91204 94375 105125 109475 114005 126991 188750 210250 218950 228010 253982 377500 420500 437900 456020 507964 525625 547375 570025 634955 661229 1051250 1094750 1140050 1269910 1322458 2102500 2189500 2280100 2539820 2644916 2736875 2850125 3174775 3306145 5473750 5700250 6349550 6612290 10947500 11400500 12699100 13224580 14250625 15873875 16530725 19175641 28501250 31747750 33061450 38351282 57002500 63495500 66122900 76702564 79369375 82653625 95878205 158738750 165307250 191756410 317477500 330614500 383512820 413268125 479391025 826536250 958782050 1653072500 1917564100 2396955125 4793910250 9587820500 11984775625 23969551250 47939102500