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1940172696 = 2333711315371
BaseRepresentation
bin111001110100100…
…1010111110011000
312000012202222121000
41303221022332120
512433141011241
6520304345000
766036124110
oct16351127630
95005688530
101940172696
119061a4510
12461915160
1324bc5aba7
14145964040
15b54e5eb6
hex73a4af98

1940172696 has 512 divisors, whose sum is σ = 7166361600. Its totient is φ = 471744000.

The previous prime is 1940172673. The next prime is 1940172709. The reversal of 1940172696 is 6962710491.

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 127 ways as a sum of consecutive naturals, for example, 27326341 + ... + 27326411.

It is an arithmetic number, because the mean of its divisors is an integer number (13996800).

Almost surely, 21940172696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1940172696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583180800).

1940172696 is an abundant number, since it is smaller than the sum of its proper divisors (5226188904).

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

1940172696 is a wasteful number, since it uses less digits than its factorization.

1940172696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1940172696 is about 44047.3914778163. The cubic root of 1940172696 is about 1247.2307111755.

The spelling of 1940172696 in words is "one billion, nine hundred forty million, one hundred seventy-two thousand, six hundred ninety-six".