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20976882084 = 22325329173769
BaseRepresentation
bin10011100010010100…
…011101000110100100
32000010220201000112200
4103202110131012210
5320430040211314
613345303214500
71341553361424
oct234224350644
960126630480
1020976882084
1189949a2a94
124095147430
131c93bac482
14102dd36484
1582b8d2709
hex4e251d1a4

20976882084 has 72 divisors (see below), whose sum is σ = 54058226040. Its totient is φ = 6856192512.

The previous prime is 20976882071. The next prime is 20976882103. The reversal of 20976882084 is 48028867902.

It can be written as a sum of positive squares in 4 ways, for example, as 15974432100 + 5002449984 = 126390^2 + 70728^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20976882084.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5563752 + ... + 5567520.

It is an arithmetic number, because the mean of its divisors is an integer number (750808695).

Almost surely, 220976882084 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 20976882084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27029113020).

20976882084 is an abundant number, since it is smaller than the sum of its proper divisors (33081343956).

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

20976882084 is a wasteful number, since it uses less digits than its factorization.

20976882084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6749 (or 6744 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 20976882084 in words is "twenty billion, nine hundred seventy-six million, eight hundred eighty-two thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 2917 3769 5834 7538 8751 11307 11668 15076 17502 22614 26253 33921 35004 45228 52506 67842 105012 135684 154601 199757 309202 399514 463803 599271 618404 799028 927606 1198542 1391409 1797813 1855212 2397084 2782818 3595626 5565636 7191252 10994173 21988346 32982519 43976692 65965038 98947557 131930076 197895114 395790228 582691169 1165382338 1748073507 2330764676 3496147014 5244220521 6992294028 10488441042 20976882084