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211471372500 = 223541723371949
BaseRepresentation
bin1100010011110010101…
…1010001000011010100
3202012211210200210020120
43010330223101003110
511431043132410000
6241052033231540
721164313002463
oct3047453210324
9665753623216
10211471372500
1181759093143
1234b994025b0
1316c31ab755b
14a3418149da
15577a5c46a0
hex313cad10d4

211471372500 has 480 divisors, whose sum is σ = 700020921600. Its totient is φ = 49370112000.

The previous prime is 211471372499. The next prime is 211471372513. The reversal of 211471372500 is 5273174112.

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 108501526 + ... + 108503474.

It is an arithmetic number, because the mean of its divisors is an integer number (1458376920).

Almost surely, 2211471372500 is an apocalyptic number.

211471372500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211471372500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350010460800).

211471372500 is an abundant number, since it is smaller than the sum of its proper divisors (488549549100).

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

211471372500 is a wasteful number, since it uses less digits than its factorization.

211471372500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The spelling of 211471372500 in words is "two hundred eleven billion, four hundred seventy-one million, three hundred seventy-two thousand, five hundred".