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47716504100 = 22521704128001
BaseRepresentation
bin101100011100001000…
…000001001000100100
311120011110000120010122
4230130020001020210
51240210411112400
633530510141112
73306313410206
oct543410011044
9146143016118
1047716504100
11192667a4861
1292b81b1798
134665955a15
14244935a776
151394183685
hexb1c201224

47716504100 has 36 divisors (see below), whose sum is σ = 103554588228. Its totient is φ = 19084800000.

The previous prime is 47716504091. The next prime is 47716504109. The reversal of 47716504100 is 140561774.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (47716504091) and next prime (47716504109).

It can be written as a sum of positive squares in 6 ways, for example, as 1746571264 + 45969932836 = 41792^2 + 214406^2 .

It is not an unprimeable number, because it can be changed into a prime (47716504109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1690100 + ... + 1718100.

Almost surely, 247716504100 is an apocalyptic number.

It is an amenable number.

47716504100 is an abundant number, since it is smaller than the sum of its proper divisors (55838084128).

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

47716504100 is a wasteful number, since it uses less digits than its factorization.

47716504100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45056 (or 45049 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The spelling of 47716504100 in words is "forty-seven billion, seven hundred sixteen million, five hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 17041 28001 34082 56002 68164 85205 112004 140005 170410 280010 340820 426025 560020 700025 852050 1400050 1704100 2800100 477165041 954330082 1908660164 2385825205 4771650410 9543300820 11929126025 23858252050 47716504100