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7979055940 = 2252981116963
BaseRepresentation
bin1110110111001011…
…01011101101000100
3202121002000001001101
413123211223231010
5112320114242230
63355430505444
7401504566522
oct73345535504
922532001041
107979055940
113424a72909
121668205284
139a20bc09b
145599b5312
1531a75eaca
hex1db96bb44

7979055940 has 48 divisors (see below), whose sum is σ = 17356207680. Its totient is φ = 3077585280.

The previous prime is 7979055907. The next prime is 7979055943. The reversal of 7979055940 is 495509797.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (7979055943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461899 + ... + 478861.

It is an arithmetic number, because the mean of its divisors is an integer number (361587660).

Almost surely, 27979055940 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 7979055940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8678103840).

7979055940 is an abundant number, since it is smaller than the sum of its proper divisors (9377151740).

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

7979055940 is a wasteful number, since it uses less digits than its factorization.

7979055940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17812 (or 17810 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 55.

The square root of 7979055940 is about 89325.5615151677. The cubic root of 7979055940 is about 1998.2531363446.

The spelling of 7979055940 in words is "seven billion, nine hundred seventy-nine million, fifty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 811 1622 3244 4055 8110 16220 16963 23519 33926 47038 67852 84815 94076 117595 169630 235190 339260 470380 491927 983854 1967708 2459635 4919270 9838540 13756993 27513986 55027972 68784965 137569930 275139860 398952797 797905594 1595811188 1994763985 3989527970 7979055940