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2970116928 = 263217928807
BaseRepresentation
bin1011000100001000…
…0110001101000000
321122222210120110200
42301002012031000
522040322220203
61210415525200
7133413402012
oct26102061500
97588716420
102970116928
11129460a899
126aa829800
1338445084c
142026681b2
15125b3e9a3
hexb1086340

2970116928 has 84 divisors (see below), whose sum is σ = 8561161440. Its totient is φ = 984473856.

The previous prime is 2970116923. The next prime is 2970116969. The reversal of 2970116928 is 8296110792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2970116923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88701 + ... + 117507.

Almost surely, 22970116928 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 2970116928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4280580720).

2970116928 is an abundant number, since it is smaller than the sum of its proper divisors (5591044512).

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

2970116928 is a wasteful number, since it uses less digits than its factorization.

2970116928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29004 (or 28991 counting only the distinct ones).

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

The square root of 2970116928 is about 54498.7791422890. The cubic root of 2970116928 is about 1437.4448205461. Note that the first 3 decimals are identical.

The spelling of 2970116928 in words is "two billion, nine hundred seventy million, one hundred sixteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 179 192 288 358 537 576 716 1074 1432 1611 2148 2864 3222 4296 5728 6444 8592 11456 12888 17184 25776 28807 34368 51552 57614 86421 103104 115228 172842 230456 259263 345684 460912 518526 691368 921824 1037052 1382736 1843648 2074104 2765472 4148208 5156453 5530944 8296416 10312906 15469359 16592832 20625812 30938718 41251624 46408077 61877436 82503248 92816154 123754872 165006496 185632308 247509744 330012992 371264616 495019488 742529232 990038976 1485058464 2970116928