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1976980014 = 233177329501
BaseRepresentation
bin111010111010110…
…0101001000101110
312002210000222202000
41311311211020232
513022101330024
6524101313130
766664024062
oct16565451056
95083028660
101976980014
11924a54389
124721057a6
13256777479
1414a7c5aa2
15b8866cc9
hex75d6522e

1976980014 has 64 divisors (see below), whose sum is σ = 4715599680. Its totient is φ = 611712000.

The previous prime is 1976980013. The next prime is 1976980063. The reversal of 1976980014 is 4100896791.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1976980013) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 52264 + ... + 81764.

It is an arithmetic number, because the mean of its divisors is an integer number (73681245).

Almost surely, 21976980014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1976980014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357799840).

1976980014 is an abundant number, since it is smaller than the sum of its proper divisors (2738619666).

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

1976980014 is a wasteful number, since it uses less digits than its factorization.

1976980014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29602 (or 29596 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 1976980014 is about 44463.2434039623. The cubic root of 1976980014 is about 1255.0684902014.

The spelling of 1976980014 in words is "one billion, nine hundred seventy-six million, nine hundred eighty thousand, fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 73 102 146 153 219 306 438 459 657 918 1241 1314 1971 2482 3723 3942 7446 11169 22338 29501 33507 59002 67014 88503 177006 265509 501517 531018 796527 1003034 1504551 1593054 2153573 3009102 4307146 4513653 6460719 9027306 12921438 13540959 19382157 27081918 36610741 38764314 58146471 73221482 109832223 116292942 219664446 329496669 658993338 988490007 1976980014