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2798998972 = 2272111498713
BaseRepresentation
bin1010011011010101…
…0101010110111100
321020001210212202121
42212311111112330
521213020431342
61141424132324
7126235045600
oct24665252674
97201725677
102798998972
111206a643a0
126614670a4
13357b69713
141c7a43500
15115add067
hexa6d555bc

2798998972 has 72 divisors (see below), whose sum is σ = 6258394800. Its totient is φ = 1083075840.

The previous prime is 2798998919. The next prime is 2798998973.

2798998972 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2798998973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316888 + ... + 325600.

It is an arithmetic number, because the mean of its divisors is an integer number (86922150).

Almost surely, 22798998972 is an apocalyptic number.

2798998972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2798998972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3129197400).

2798998972 is an abundant number, since it is smaller than the sum of its proper divisors (3459395828).

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

2798998972 is a wasteful number, since it uses less digits than its factorization.

2798998972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8891 (or 8882 counting only the distinct ones).

The product of its digits is 82301184, while the sum is 70.

The square root of 2798998972 is about 52905.5665502223. The cubic root of 2798998972 is about 1409.2917610746.

The spelling of 2798998972 in words is "two billion, seven hundred ninety-eight million, nine hundred ninety-eight thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 149 154 196 298 308 539 596 1043 1078 1639 2086 2156 3278 4172 6556 7301 8713 11473 14602 17426 22946 29204 34852 45892 60991 80311 95843 121982 160622 191686 243964 321244 383372 426937 670901 853874 1298237 1341802 1707748 2596474 2683604 4696307 5192948 9087659 9392614 14280607 18175318 18785228 28561214 36350636 57122428 63613613 99964249 127227226 199928498 254454452 399856996 699749743 1399499486 2798998972